{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Epidemiology model for spread of infectious diasease\n",
    "\n",
    "\n",
    "In this code I will use a SIR (susceptible-infected-removed) model. The model traces the evolution of a susceptible population $S$, infected $I$, and removed population, $R$. The equations are\n",
    "\n",
    "\n",
    "\\begin{eqnarray}\n",
    "\\frac{dS}{dt} &=&-\\beta I S \\\\\n",
    "\\frac{dI}{dt} &=& \\beta I S - \\gamma I\\\\\n",
    "\\frac{dR}{dt} &=&\\gamma I\n",
    "\\end{eqnarray}\n",
    "\n",
    "\n",
    "$\\beta$ is the infection rate and $\\gamma$ is the recovery rate. \n",
    "\n",
    "Contact with infected removes a fraction of the susceptible population at the rate $\\beta I S $, placing them at the infected population. At the same time, the infected population has a recovery rate $\\gamma$. A number $\\gamma I$ is removed from the infected and placed in the removed population. \n",
    "\n",
    "\n",
    "### The parameter $R_0$\n",
    "\n",
    "We can gain understanding of the dynamics of the infected population by writing its equation as \n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{dI}{dt} = \\gamma I \\left(\\frac{\\beta}{\\gamma} S - 1 \\right).\n",
    "\\end{equation}\n",
    "\n",
    "and noticing that in the beggining of the infection, when $S \\approx 1$ (the populations are normalized by $N=S+I+R$ where $N$ is the size of the population) it reduces to \n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{dI}{dt} \\approx \\gamma I \\left(\\frac{\\beta}{\\gamma}  - 1 \\right).\n",
    "\\end{equation}\n",
    "\n",
    "The dynamics of the infected population is controled by the parameter \n",
    "\n",
    "\\begin{equation}\n",
    "R_0 = \\frac{\\beta}{\\gamma}\n",
    "\\end{equation}\n",
    "\n",
    "When $R_0 > 1$ the infected population grows exponentially. When $R_0 \\leq 1$ the disease is controlled. \n",
    "\n",
    "$R_0$ can be thought of as the average number of people an infected person will contaminate before being removed. As such, it is called the basic reproduction number. Social distancing has the effect of lowering the infection rate $\\beta$, and thus the basic reproduction number $R_0$. \n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Doubling time and application to current COVID-19 epidemics\n",
    "\n",
    "Based on  \n",
    "\n",
    "\\begin{equation}\n",
    "\\frac{dI}{dt} \\approx \\gamma I \\left(R_0  - 1 \\right)\n",
    "\\end{equation}\n",
    "\n",
    "we can relate the doubling time of the infection to $R_0$. The e-folding time is \n",
    "\n",
    "\\begin{equation}\n",
    "t_e = \\frac{1}{\\gamma \\left(R_0-1\\right)}\n",
    "\\end{equation}\n",
    "\n",
    "So the doubing time is \n",
    "\n",
    "\\begin{equation}\n",
    "t_{\\rm double} = t_e \\ \\ln 2 = \\frac{\\ln 2}{\\gamma \\left(R_0-1\\right)}\n",
    "\\end{equation}\n",
    "\n",
    "Data from China and S. Korea imply that the recovery rate is $\\gamma=0.06$. As such, the doubling time and $R_0$ are related by the graph below. Also shown are the doubling rate of China, South Korea, Italy, and the USA, as of March 14th, 2020. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1100x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab as plt\n",
    "import sys \n",
    "\n",
    "#\n",
    "# R0 vs doubling time \n",
    "#\n",
    "\n",
    "gamma = 0.06\n",
    "mu = 0.01 \n",
    "R0=np.linspace(1.003,12.5,100)\n",
    "doubling_time = np.log(2.)/(gamma*(R0-1))\n",
    "plt.figure(figsize=(11,7))\n",
    "\n",
    "plt.plot(R0,doubling_time)\n",
    "\n",
    "#\n",
    "# Doubling time estimates as of March 14th.\n",
    "#\n",
    "\n",
    "plt.axhline(2.4,linestyle=':',color='black')\n",
    "plt.axhline(3.9,linestyle=':',color='green')\n",
    "plt.axhline(29,linestyle=':',color='orange')\n",
    "plt.axhline(770,linestyle=':',color='red')\n",
    "\n",
    "plt.annotate('$USA$'     ,xy=(11.4,2.4-1),color='black')\n",
    "plt.annotate('$Italy$'   ,xy=(11.25,3.9+1),color='green')\n",
    "plt.annotate('$S. Korea$',xy=(11.0,29+10) ,color='orange')\n",
    "plt.annotate('$China$'   ,xy=(11.0,770+100),color='red')\n",
    "\n",
    "plt.title(\"COVID-19 Reproduction Number vs Doubling Time\")\n",
    "plt.ylabel(\"$t_{\\mathrm{double}}$\")\n",
    "plt.xlabel(\"$R_0$\")\n",
    "plt.yscale('log')\n",
    "\n",
    "SMALL_SIZE = 12\n",
    "MEDIUM_SIZE = 14\n",
    "BIGGER_SIZE = 16\n",
    "\n",
    "plt.rc('font', size=MEDIUM_SIZE) # controls default text sizes                   \n",
    "plt.rc('axes', titlesize=MEDIUM_SIZE) # fontsize of the axes title               \n",
    "plt.rc('axes', labelsize=BIGGER_SIZE) # fontsize of the x and y labels           \n",
    "plt.rc('xtick', labelsize=MEDIUM_SIZE) # fontsize of the tick labels             \n",
    "plt.rc('ytick', labelsize=MEDIUM_SIZE) # fontsize of the tick labels             \n",
    "plt.rc('legend', fontsize=MEDIUM_SIZE) # legend fontsize                         \n",
    "plt.rc('figure', titlesize=BIGGER_SIZE) # fontsize of the figure title         \n",
    "\n",
    "plt.show()\n",
    "#plt.savefig(\"R0DT_031520.png\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Death rate \n",
    "\n",
    "The last parameter in the model is the death rate. The removed is either cured (C) or dead (D), according to \n",
    "\n",
    "\\begin{eqnarray}\n",
    "C &=& (1-\\mu) R \\\\\n",
    "D &=& \\mu R \n",
    "\\end{eqnarray}\n",
    "\n",
    "where $\\mu$ is the death rate. The cured are supposed to have gained immunity and not added again to the susceptible population. Current knowledge of the epidemic seem to imply $\\mu$=0.01. \n",
    "\n",
    "### Model applied to the current epidemics \n",
    "\n",
    "Given a universal $\\gamma=0.06$, the model input are the doubling times $t_{\\rm double}$ and the initial number of infected $I_0$. Below are the numbers of March 14th for Italy, S. Korea, China, and the USA. The total population is for normalization purposes only. The model assumes N=1 and works with population fractions instead.  \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next blocks have funtion definitions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def select_country(name):\n",
    "\n",
    "    if (name == 'Italy'):\n",
    "        N=6e7  \n",
    "        I0=6e4      \n",
    "        doubling_time=3.9 \n",
    "        # alpha = 0.615384615385\n",
    "    elif (name== \"S. Korea\"):\n",
    "        N=5e7\n",
    "        I0=9e3\n",
    "        doubling_time=29\n",
    "        # alpha = 0.0827586206897\n",
    "    elif (name==\"China\"):\n",
    "        N=1.4e9\n",
    "        I0=1e5\n",
    "        doubling_time=770.\n",
    "        # alpha=0.00311688311688\n",
    "    elif (name==\"USA\"):\n",
    "        N=3.2e8\n",
    "        I0=2e3\n",
    "        doubling_time=2.4\n",
    "        # alpha = 1.0 # effect of quanrentine -- how to model it\n",
    "        # doubling_time=2.4 / alpha\n",
    "    elif (name==\"Sweden\"):\n",
    "        N=1e7\n",
    "        I0=1e3\n",
    "        doubling_time=2.9\n",
    "    elif (name==\"USA with Korea R0\"):\n",
    "        N=3.2e8\n",
    "        I0=2e3\n",
    "        doubling_time=29\n",
    "        # alpha = 1.0 # effect of quarentine -- how to model it\n",
    "        # doubling_time=2.4 / alpha\n",
    "    else:\n",
    "        print(\"choose a valid country\")\n",
    "        sys.exit()\n",
    "        \n",
    "    beta = gamma + np.log(2.)/doubling_time \n",
    "    R0 = beta/gamma\n",
    "\n",
    "    country = dict([('name', name),\n",
    "                    ('beta', beta),\n",
    "                    ('gamma', gamma),\n",
    "                    ('I0',I0),\n",
    "                    ('N',N),\n",
    "                    ('R0',R0),\n",
    "                    ('doubling time',doubling_time)])\n",
    "\n",
    "    print(\"Parameters for:\",country['name'])\n",
    "    print(f'Basic reproduction number R0 = {R0:.1f}')\n",
    "    print(\"Doubling time =\",doubling_time,\" days\")\n",
    "    print(f'Infection rate beta = {beta:.2f}')\n",
    "\n",
    "    return country\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def appendvalues(S,I,R,t,SS,II,RR,tt):\n",
    "    SS.append(S)\n",
    "    II.append(I)\n",
    "    RR.append(R)\n",
    "    tt.append(t)\n",
    "    return SS,II,RR,tt\n",
    "\n",
    "def RK3(f):\n",
    "    beta  = f['beta']\n",
    "    gamma = f['gamma']\n",
    "    I0    = f['I0']\n",
    "    R0    = f['R0']\n",
    "    N     = f['N']\n",
    "    dbt   = f['doubling time']\n",
    "    \n",
    "    alpha_ts   = np.double([0.   , -5./9.  ,-153./128.])\n",
    "    beta_ts    = np.double([1./3., 15./16. ,   8./15. ])\n",
    "    Cdt = 0.5\n",
    "#\n",
    "    tau_beta  = 1/beta \n",
    "    dt = Cdt*tau_beta\n",
    "#    \n",
    "    if (dbt < 10.):\n",
    "        tmax = 100.\n",
    "    else:\n",
    "        tmax = 540.\n",
    "#\n",
    "# Lists to store the populations \n",
    "#\n",
    "    SS=[]  # susceptible\n",
    "    II=[]  # infected\n",
    "    RR=[]  # removed\n",
    "    DD=[]  # dead\n",
    "    tt=[]  # time\n",
    "\n",
    "#\n",
    "# Initial values. \n",
    "#\n",
    "    I=I0/N\n",
    "    R=0.\n",
    "    S=1-I\n",
    "#\n",
    "    dSdt=0.\n",
    "    dIdt=0.\n",
    "    dRdt=0.\n",
    "\n",
    "#  Start the integration\n",
    "    itmax=100000    \n",
    "    t=0.\n",
    "    ds=0.\n",
    "    SS,II,RR,tt = appendvalues(S,I,R,t,SS,II,RR,tt)\n",
    "#\n",
    "    for it in np.arange(itmax):\n",
    "#                                                                                \n",
    "        dt_beta_ts = [i * dt for i in beta_ts]\n",
    "#                                                                                \n",
    "        for itsub in np.arange(0,2):\n",
    "            dSdt   = alpha_ts[itsub]*dSdt\n",
    "            dIdt   = alpha_ts[itsub]*dIdt\n",
    "            dRdt   = alpha_ts[itsub]*dRdt\n",
    "            ds     = alpha_ts[itsub]*ds\n",
    "#                                                                                \n",
    "            dSdt = dSdt - beta*I*S \n",
    "            dIdt = dIdt + beta*I*S - gamma*I\n",
    "            dRdt = dRdt + gamma*I\n",
    "            ds   = ds   + 1.    \n",
    "        \n",
    "            S = S + dt_beta_ts[itsub]*dSdt\n",
    "            I = I + dt_beta_ts[itsub]*dIdt\n",
    "            R = R + dt_beta_ts[itsub]*dRdt\n",
    "            t = t + dt_beta_ts[itsub]*ds\n",
    "\n",
    "        SS,II,RR,tt = appendvalues(S,I,R,t,SS,II,RR,tt)\n",
    "    \n",
    "        if ((it == itmax) or t > tmax):\n",
    "            print(f'End of simulation at t = {np.int(t):d} days \\n')\n",
    "            #\n",
    "            #  Separate the removed into recovered and dead according to death rate\n",
    "            #\n",
    "            C=(1-mu)*R\n",
    "            D=mu*R\n",
    "        \n",
    "            print('Percentage of people who avoided infection, S=',np.int(np.round(100*S)),'%')       \n",
    "            print('Percentage of infected, I=',np.int(np.round(100*I)),'%')    \n",
    "            print('Percentage of removed, R=',np.int(np.round(100*R)),'%\\n')\n",
    "        \n",
    "            print('Percentage infected at peak of epidemics: ',np.int(np.round(100*np.array(II).max())),'% \\n')    \n",
    "            print(f'Total number of deaths = {np.int(np.round(D*N)):d}')\n",
    "\n",
    "            break\n",
    "            \n",
    "    results = dict([('Susceptible', SS), ('Infected', II), ('Removed', RR),('Time',tt)])\n",
    "        \n",
    "    return results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plottage(country,results):\n",
    "\n",
    "    t=np.array(results['Time'])\n",
    "    S=np.array(results['Susceptible'])\n",
    "    R=np.array(results['Removed'])\n",
    "    I=np.array(results['Infected'])\n",
    "    N=country['N']\n",
    "    I0=I[0]*N\n",
    "    R0=country['R0']\n",
    "    gamma=country['gamma']\n",
    "    dbt = country['doubling time']\n",
    "    \n",
    "    C=0.99*R\n",
    "    D=0.01*R\n",
    "\n",
    "    fig, ((ax1,ax2)) = plt.subplots(1,2,figsize=[16,5])\n",
    "\n",
    "    # Evolution of the populations\n",
    "\n",
    "    ax1.plot(t,100*S,color='blue',label='Susceptible')\n",
    "    ax1.plot(t,100*I,color='red',label='Infected')\n",
    "    ax1.plot(t,100*C,color='green',label='Recovered')\n",
    "    ax1.plot(t,100*D,color='black',label='Dead')\n",
    "\n",
    "# Cumulative number of infections and deaths \n",
    "\n",
    "    ax2.plot(t,N*(1-S),color='red',label='Infections')\n",
    "    ax2.plot(t,N*D,color='black',label='Deaths')\n",
    "\n",
    "# Overplot the initial exponential rate\n",
    "\n",
    "    label='Doubling Time = '+np.str(dbt)+' days'\n",
    "    ax2.plot(t,I0*np.exp(gamma*(R0-1)*t),color='orange',linestyle='--',label=label)\n",
    "\n",
    "# Annotations and prettifing \n",
    "\n",
    "    ax1.set_xlabel(\"Days\")\n",
    "    ax1.set_ylabel(\"Percentage of Population (%)\")\n",
    "    ax1.legend()\n",
    "    ax1.set_xlim([0,t.max()])\n",
    "    strR0 = np.str(np.int(R0))+'.'+np.str(np.int(10*(R0-np.int(R0))))\n",
    "    title=country['name']+\", $\\gamma=0.06,R_0=$\"+strR0\n",
    "    ax1.set_title(title)\n",
    "    ax1.grid()\n",
    "\n",
    "    ax2.set_yscale(\"log\")\n",
    "    ax2.set_ylim([I0/100.,1.5*N])\n",
    "    ax2.set_xlim([0,t.max()])\n",
    "    ax2.set_xlabel(\"Days\")\n",
    "    ax2.set_ylabel(\"Cummulative # of Cases\")\n",
    "    char = np.int(np.log10(N))\n",
    "    mant = np.int(np.round(10**(np.log10(N)-char)))\n",
    "    strlog = np.str(mant)+' x 10$^'+np.str(char)+'$'\n",
    "    title=country['name']+\", $N$=\"+strlog+\", $I_0$=\"+np.str(np.int(I0))\n",
    "    ax2.set_title(title)\n",
    "    ax2.legend()\n",
    "    ax2.grid()\n",
    "\n",
    "#plt.savefig(country+\"_population_031520.png\")\n",
    "\n",
    "    return "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Integration\n",
    "\n",
    "We now solve the system of differential equations with a Runge-Kutta algorithm. The timescales of the model are the infection time, given by the inverse of the infection rate \n",
    "\n",
    "\\begin{equation}\n",
    "\\tau_\\beta = \\frac{1}{\\beta}\n",
    "\\end{equation}\n",
    "\n",
    "and the inverse of the recovery rate, which is the timescale of the duration of the epidemics.  \n",
    "\n",
    "\\begin{equation}\n",
    "\\tau_\\gamma = \\frac{1}{\\gamma}\n",
    "\\end{equation}\n",
    "\n",
    "We take timesteps of half a $\\tau_\\beta$, and model up to 100 days for fast doubling times ($<10$ days), and 18 months (540 days) for longer, which is the estimated time to develop a vaccine. The universal parameters are: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Universal parameters:\n",
      "Recovery rate = 0.06\n",
      "Death rate = 0.01 \n",
      "\n"
     ]
    }
   ],
   "source": [
    "print (\"Universal parameters:\")\n",
    "print(\"Recovery rate =\",gamma)\n",
    "print(\"Death rate =\",mu,\"\\n\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Running the model\n",
    "\n",
    "The block below runs the models. The countries with data code are Italy, China, USA, S. Korea and Sweden. Here goes the data for Italy: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters for: Italy\n",
      "Basic reproduction number R0 = 4.0\n",
      "Doubling time = 3.9  days\n",
      "Infection rate beta = 0.24\n",
      "End of simulation at t = 100 days \n",
      "\n",
      "Percentage of people who avoided infection, S= 2 %\n",
      "Percentage of infected, I= 3 %\n",
      "Percentage of removed, R= 94 %\n",
      "\n",
      "Percentage infected at peak of epidemics:  40 % \n",
      "\n",
      "Total number of deaths = 564402\n"
     ]
    },
    {
     "data": {
      "image/png": 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VTpyA6Gg4cgSOHnXl2LFzy7jXJ07A8eOuBLyutnUrDB0KJ0+67SdPniunTrkS+PrUKZf4xsb6/e3PEYGwMAgPd8v4JW57XL24kth64DKh1wHrOaKj3fETqpvQemIl7nsEuy+pbYH7LvQ6qWUwdZJ6T/zXiezbvX07ZcsGNCx+7z1SI9TmSa4IlAS+i9ugqsdFZB7QCPgAqAvkjFdnq4is9eokmSQfOpSTjz92Nxpy5nTLuNe5cp1bxpWcOSFPHsid+9wyd273b9UYY4wxxoS4HTNgflsoXBPC8/gdTdpTdQnsgQOwf//5ywMH4NAh+Ptvtwx8feSIK9HR7mlpcuTIAXnzupInDwVUoUiRcz+U8+Z167lyufXAH9e5c5//wzv+67gS/8d63Hp4+Pnb4tbDw8+V+OtxJS7Zjb8el4T6ZFlUFJGRkb59flawISqKsoHnMIslySW95e5423cDZQLqxAD7EqhTkgSISDegm1urS6dOqQ80Z85YcuWKJU+eGHLnPn+ZJ08MefPGkC9fXDlzdhkRcYaCBc9QoMAZIiJOU6CA2+fj/5fJEh0dTVRUlN9hZGp2DlPHzl/q2PlLPTuHxmQiO2bCvDZQ6Aq44XvIVcTviIJ3+jTs2gXbtsH27W65e7cre/acW+7Z457eJiZ3bihUyJXChd2yTBkoUOBciYg4t4yIgPz5IV++c8u4EpcYx2vWutiSPJPFhFqSHCde43MkgW3xJVpHVUcCIwEuvbSafv/9uS4MgV0dTp8+vwVIYMuQEyfOtR5xr8M4cSKMY8dynG2FEleio2Hv3nM36I4dSzrwHDmgWDG4+OJ/llKloHx5V8qUcTfQ/BRlfwRTzc5h6tj5Sx07f6ln5zDtWJ9kk652z4V5raFQtdBMkE+fhi1b4K+/YONGt/zrL9i0ySXEu3b9sz9mjhxQooT7kViiBFSv7pbFi7sfk0WLnr8sUsQ1hTTGJEuoJcm7vGVJYGvA9hKce7q8CwgHLgL2xqsz70IfkCNHLJUqpT7Q5DhzxiXOhw+7Fi4HDsDBg+cv9+49d3Pw99/dMv5NwbAwKF36XNJcpQpcfjlUrepK/vwZ+72MMcaY1LA+ySZdFbwcyrWFq4dB7qL+xXH4MKxd68qaNedeb9x4fp/cnDmhQgVXatZ0T0fKlj1/WbSo9fkzJgOEWpK8EZcENwd+ARCRPEBj4GmvzlLgtFdnnFenLFANWJjB8QYlRw7XuqVwYZfcBkPVJdbbt8PWre5G45YtsHmzWy5aBJ9/fv7f1nLlXNJcsyZcfbUrl15qf0uNMcYYk40cXA6FakDei+Ha8Rn72Tt3wtKlrixb5sq2bef258rlnnLUrQvt20OlSq5UrOiS4PDwjI3XGJOgDE+SRSQCqOythgHlRaQ2cEBVt4jIEOB5EVkH/A68AETjJcSqekhE/gu8LSJ7ODcF1EpgVsZ+m/Qj4rqGXH65Kwk5cQI2bIB162D9erdctw6GDz/3FLpQIfd3+OqroX59iIx0NyGNMcYYY7Kc3XMg6lao0hOueit9P+vECfjlF5g/HxYudInxLq9RpIhr5nf99e7pRbVqrml0xYppOk2NMSZ9+PF/6dXAnID1V7zyMW5u5LeAvMD7QBFgEdAiYI5kgCeAM8BnXt0fgAez2xzJefLAFVe4Euj0adeaZ8mSc2XwYLddBOrUgWbNXLn2Wjf+gjHGGGNMprZ7LkTdBhEVoVqftD9+dDQsWOCS4nnzYPFiN1gNuAS4RQv3ZKJOHahd2w2AZYzJlPyYJzkKN8hWYvsV6OeVxOqcAHp5xcSTMydceaUrXbq4bSdPumT5hx9g1iwYOBAGDHADHl53HdxxB9x1lxv7wRhjjMkINnCXSTN75kHULZD/ErhhNuRJox80v/8O06bBt9+6xPjUKdckuk4d6NkTGjd2P6SKFUubzzPGhARr75FN5M7tnhpfey289JK7GTpvnkuYZ8yAHj2gVy+48UbXRaZtW9eH2hhjjEkvNnCXSRMxJ2BBe8hfHm6c7foip9SZMzBnDkyd6pLjDRvc9mrV3A+lFi2gUSN7SmxMFmdJcjYVEQG33OLKwIGwejVMmODKQw/BI49Ay5bQuTO0amXjSBhjjDEmRIXngeu/hnxlIW/J5L8/NpZCq1bBF1+4snev69N2ww3Qu7f7sVSxYtrHbYwJWUEnySJSAWgAlMb1A94HrAd+9po/m0xKxI0pUbMmvP66a5Y9YQJ89hlMnuxGyO7dGzp18jtSY4wxxhjP3oWw/xe4/HEoVi9571WF5cth/HiYMIGrtm51g7S0agXt2sFNN0G+fOkTtzEm5CWZJItIYeBhr1xGwn2JT4nIZGC419/YZGIiUK+eKwMGwNdfw6BBroXRiy/CzTdXonJlN12fMcYYY4wv9v0Mc1q6J8eVH4Yc+YN739GjMG6cmwpk+XI30nSLFqx54AGq9+3rphYxxmR7ic6gKyJPAX8BTwIzgXtwUzcVAnIBJYGGwLNAYeB7EZklIlXTO2iTMXLkcIN5LVzoSvPm8Nln5ahYETp2dPM1G2OMMcZkqH2LYM5NkOdiuHFOcAnymjXujn/p0tCtG8TGwvvvuymbvv2WPc2bW4JsjDkrqSfJ9wEPAZNVNTaB/Xu8sggYKiKlgT5AK1wzbJOFNGzoyoQJi1i0qAEjRsDnn8PTT8Ozz0L+IG/gGmOMMcak2L7FMKcF5L4Ims2BfGUSrxsbC199Be+9B3PnQq5ccPfd8OijbvAtSXSyFWNMNpfok2RVraOqXyeSICdUf4eqPqmq76RdeCbUlCx5gsGDYf16NwL2a69BlSowZoy7FhljjDHBEpFWIjIyOjra71BMZvH3Spcg3zjHDdSVkNOn4ZNPoEYN1yRu82bXh2zbNvj0UzfVhyXIxpgkJJokG5OU8uVdl54FC6BMGXjwQfek+aef/I7MGGNMZqGqU1S1W4RNp2MuJOakW1Z+GG5Z5aZ7iu/ECRgxwt2979jRPTmeMMFN4/TMM1C8eMbGbIzJtFKUJItIZxH5TEQ+F5EuInY7Lrtq1Ah+/tndsN22za336uWuU8YYY4wxqXZgGUypDHvmufUc8UadPn7cjTJaqZJrSl2yJEyZ4gbmuvdem8fSGJNsyZ4nWUReAx4EvgAigMG4ka/7pm1oJrMIC4MHHnDNr198EYYMgXnz3M3batX8js4YY9JGrMay48gOVv69ks3LN7Px7438dfAvv8MyJms78CvMbgY5CkC+cufvi411zadfeAG2bnXzGn/6KTRtas2pjTGpkmiSLCIRqppQJ6FOQGNV3eTVmw8MxJLkbC8iAgYPdqNgd+oEdevCu+9Cly52rTLGZA5nYs+w+e/N/HHgDzYc2MAf+/9gw8ENbDiwgU1/b+JUzClXcQUIQtmCNh+eMenm4AovQY5wg3RFVDy37/vvXRPq5cvdD45PPoHISN9CNcZkLUk9SV4vIk+o6ucJ7Ascokm9YgwAt9wCK1a4p8tdu8J338HIkVC4sN+RGWOMs//YftbvX8+6fetYv2896/avY92+dfx18C/OxJ45Wy8iVwSVi1am1sW1aFO1DZWKVOLwlsO0jWxL+ULlyRWeC3nS7gIak+aiN8LsG13T6hvnQEQlt33FCjetxsyZUKECjB8P99zjmrUZY0waSSpJfgIYKCIPA91VdYO3/RNgrohMBPIDHYCR6RumyWxKlXLJ8dtvu1ZQixe75tcNGvgdmTEmO9l/bD+/7f2N1XtW89ue3/ht72+s2buGvcf2nq2TKzwXVYpVodbFtbiz2p1cVvQyLit2GZWLVubi/BcTf9iNqOgoKhetnNFfxZjsJV95qNgRLnsUClwKBw/Cc8+du+s+aBB07w65c/sdqTEmC0o0SVbVz0XkW+BVYJmIDAbeBF4ANgE3eVX7YkmySUBYmLvZ27QptGvnlp9/Dq1a+R2ZMSarORVzinX71rFi1wpW7HZl1e5V7D66+2ydgrkLUqN4DW6vejvVi1enarGqXH7R5VQoXIHwMBvYx5iQcGgN5CzopneqMxBUXT/jp56C/fvh8cfhpZegSBG/IzXGZGFJDtylqkeBp0Tkf8D7wH1AT1UdBYzKgPhMFnDNNbBoEdx6qxvc68MPXZ9lY4xJiWOnj7Fi1wqW7FjC0p1LWb5rOWv2ruF07GkAcofnpkaJGtx82c1cUfwKapSoQY3iNShbsOw/ngobY0LIoTXwQ1MoUBWazYXff3ejVc+ZA/XruybWtWv7HaUxJhsIanRrVV0NNBGRjsBoEfkReFxVt6drdCbLKF4cZs+GO+6Azp1h7154+mm/ozLGhLpTMadYsWsFi7YvOpsUr9m7hlh1Q2OUyF+COqXq0LJyS668+EquLHklVYpVIUdYsidvMD4QkVZAq9KlS/sdivHbobXwww1AGNQeBv36Qf/+kC+fm/u4a1frd2yMyTBJ/ooQkeuBm4E8wE+q+rGIfAO8AawWkdeBIaoak/6hmswuIsJNW9ixoxuQcs8eeOstG/naGOOoKlsObeHnbT/z87afWbR9Ect2LuNkzEnAJcRXl76atpe3pW6putQtXZcyBcrY0+FMTFWnAFOqVq3a1e9YjI8Or/cSZOCiwXDd3e4p8n33wcCBcPHF/sZnjMl2kpoC6nHgHWAWcBToIiK3q+r9QA8R+QjXBLuTiDyiqgsyJGKTqeXODePGuSfL77zjnih/+CHksIc+xmQ7MbExrNqzih+3/Mj8LfP5ccuP7DiyA4C8OfJSt3Rdel7TkwZlG1C/TH1rLm1MVrX0CdBYWN0GXr0PypZ1Uzw1a+Z3ZMaYbCqp1OQpoIeqjgQQkbrAYhHpo6q7VHWpiDQEugFfASXSP1yTFYSFufmTS5RwY28cOAATJ0KuXH5HZoxJT2diz7BkxxLmbJzDvC3zWLh1IYdPHgagXMFyRFaI5Npy19KgbANqlqhJzvCcPkdsjMkQBZ+F17rBnJHw0EMweDAULOh3VMaYbCypJDk3cDBg/W9AgLO/WlRVgQ+86aCMCZoIvPgiFCsGPXrAww/Dxx9b02tjspJYjWXFrhXM3jibOZvmMG/zPI6cOgJA9eLVaX9FexqXb8x15a/jksKX+Bxt1iIixVR1v99xGJOoIxvgt/4wuzz0ex2KFoXJk20KDGNMSEgqSR6NS4CbAMeBO4EoVd0av6JdiE1Kde/uniS/+CKUKwdvvOF3RMaY1Nh+eDsz/5zJzD9nMuuvWRw4fgCAqsWqcl/N+7ih4g1EVoikeP7iPkeaNYhIV6Cwqr7trdcEpgOlRORX4DZV3eVnjMb8w5E/YWZjOLQP3j0Dbe+B4cPdnXNjjAkBSSXJzwHrgZZALtyUT+9lRFAme3n+edi6Fd580yXKjzzid0TGmGCdPHOS+VvmM3PDTGb8OYPVe1YDUCqiFLdXvZ0bK95I0wpNKVOwjM+RZlm9gJEB64NwLb8GAI8Br+K6RRkTGqL/gin1IfoADM0PQ0ZBu3Z+R2WMMedJNElW1VjgI68Yk25E4P33YccO1/S6VClo3drvqIwxidl3bB/T/pjG5PWTmfnnTKJPRZMrPBfXlb+Ot5q9xU2Vb6JmiZo2yFbGKA+sAxCRQkAToI2qThOR/cB//AzOmPPsXwvfXAOno2HKFfDtFKhQwe+ojDHmH2xMYRMScuSACROgaVNo397Nqdyggd9RGWPi/L7/d75Z9w2Tf5/Mwq0LidVYSkWUosMVHbitym00rdiUiFwRfoeZHYUDsd7r6wAForz1rdigmiZUrFsHj90OLaPh0IPw1YeQ0wbnM8aEpqSmgFoOvAJ87Q3QlSQRKQs8A2xT1bfSLkSTXeTPD1OnQqNGbtyOhQvhssv8jsqY7GvN3jVMXDORL9Z8cbYZde2StXmh8Qu0qtqKOqXqECZhPkeZ7f0B3ArMBtoBC1X1mLevNHDAr8CMOWvMSHj0ScibF3pPgVtu8zsiY4xJUlJPksfg+iG/LyKfAfOBFcBe4CRQBKgEXAO0wjXxmgUMS8+ATdZWogTMmAENG0LLlvDTT26bMSb9qSqr9qxi4pqJTFwzkbX71iIIjS9pzLst36XN5W0oV6ic32Ga870DjBGRjrjr8t0B+5oCK32JyhiAEyegT2eoPAE6V4S+86GMjdIkySwAACAASURBVE9gjAl9SfVJHigiHwIPA12Ax3HNuAIJLmH+BrhRVeemV6Am+6hc2T1RjoyEBx+EadPc3MrGmPSx+e/NjFs1jrGrxvLb3t8IkzCaXNKEntf0pO3lbSlVoJTfIZpEqOo4EdkC1Ad+UdV5Abt3A5MzKhZvZO0xAZuqAu1V9euMisGEkK1boVMruG0FFMsNHcZCCUuQjTGZQ5J9klX1EDAQGCgi5YCGuOZbeYD9uMFCFqvqyfQO1GQv9evDoEFuiqjBg+Gpp/yOyJis5cDxA3zx2xeMXTWW+VvmA3BtuWsZfstw7qx+JyXyWxOOzEJVfwR+TGD7yxkcxyqgNoCIFAA2At9nZAwmRMydCw/fAT0OQol80GIOXHSN31EZY0zQgh64y5sf+R9zJBuTXh55BL7/Hp57Dpo0gauv9jsiYzK3mNgYFu1fxLDPhzF5/WROx57m8osu5/Wmr9OhZgcqFqnod4gmBUQkP67F1/VAMaCbqv4hIu2A5aq6zoewWgOzVPWoD59t/KIKQ4dC36fgrXCXIDf7wRJkY0ymY6Nbm5AlAh9+CLVruykUly2DggX9jsqYzGfjwY189OtHjF4xmm2Ht3FRvovoeU1P7q91P1eVvMqmasrEvFZeUUBZXOuuK4AC3u6mQDNct6lgjnU90Aeoi2s11llVR8er0x14GigF/Ab0VtX5CRzuXmwKyezl2DHo2hXGjXPzON7YEkpcCRfV9zsyY4xJNkuSTUgrWhTGjnX9k3v0gDFjLvgWYwxwKuYUX639ilHLRvHDxh8QhJsq38TDZR/muTueI1d4Lr9DNGljIG5skMuAHcCpgH1zgX7JOFYEsBr4xCvnEZF7gaFAd1zz7u7AdBGprqpbAuoVBhpw/iBiJivbutUlxpt+hbcfgidH2WAixphMzZJkE/IaN4aXXoJ+/aB5czeYlzEmYdsPb2fk0pGMXDaSXdG7qFC4Aq9Gvkqn2p0oV6gcUVFRliBnLc1xzau3iEh4vH3bgaBHSlLVacA0ABEZnUCVJ4HRqjrKW+8lIi2BR4HnAurdAUxX1RNJfZ6IdAO6ARQvXpyoqKhgQzXxREdH+3b+CqxdyxUvvEB4ruOcGVycsNyTWBR1FzFheX2JJ6X8PIdZgZ2/1LHzl3ppfQ4tSTaZwgsvwOzZbiCvBg2gShW/IzImdKgq87fMZ9jiYXy59ktiNZZbLruFHvV6cFPlm2wu46wtF3AkkX2FgNNp8SEikgvXDPudeLu+AxrF2xb3xDlJqjoSGAlQtWpVjYyMTH2g2VRUVBS+nL8JE+DJJ6FyCehXiBwxeyByOo1LNM74WFLJt3OYRdj5Sx07f6mX1ufQkmSTKYSHu2bXV17p+if/9BPkzu13VMb46+SZk4xbNY7BPw9m1Z5VFMlThN4NevPo1Y9yadFL/Q7PZIyVwJ3AjAT23QwsTaPPuQgIx00rFWg3rt8zACJyEW6EaxvVOitThVdecaX5NdDjEJzYCpHTIBMmyMYYE58lySbTKFsWPvoI2rRxT5bfftvviIzxx98n/mbEkhG8u+hddkbvpGaJmnzY6kPa12xPvpz5/A7PZKy3gYne4GvjvG3VRaQ1bsTr29P48zTeugRuU9V9wMXBHkxEWgGtSpcunTbRmfR3/Dh06gSffw4dO0Lv8rD+HZcgX9zE7+iMMSZNBJ0ki0gl4B6gPG6e5ECqql3SMjBjEtK6tRs8c9AguO8+N/K1MdnF5r83M3TRUEYtG0X0qWiaVWrG6DajaV6puY1QnU2p6pfeiNP9gYe8zZ/gmmD3VNWEnjCnxD4gBigZb3sJ/vl0OWiqOgWYUrVq1a6piM1klF274PbbYckSGDAAnn4aUKjYDgpV9zs6Y4xJM0Elyd4d6S+AMGAPbiTNQPHvLBuTbgYMgK+/dvMoL1xoA2iarO/3/b/zxvw3GLtyLADtrmhHn0Z9qF3S7hIZUNURIjIGaIhLWvcDC1U1sb7KKfmMUyKyFDdQ2BcBu5oDk1J6XHuSnImsXQs33wx798KXH0PRSXBsC+S/xBJkY0yWE+yT5Ndx8zDep6p70y8cYy6sSBEYONCNcj1qFPzrX35HZEz6WLt3La/Pf50JqyeQOzw3va7pxRMNn6B8ofJ+h2ZCjKoeBWal5hgiEgFU9lbDgPIiUhs44E3xNAgYIyKLgQXAI7j5lEekIm57kpwZzJvn+jrlzAmzv4EDT8POdRD9l0uSjTEmiwn2GVwl4B1LkE2ouP9+N3dy376wZ4/f0RiTtlbvWU27ie2oMbwG36z7hj4N+7Cp9yYGtxxsCbI5j4i0FpHOAeuXiMhPInJERCZ6iW+wrgZ+9Upe4BXv9asAqvoZ0Bt4AVgOXAfcoqqb0+bbmJA0YYKbf7FECZg/Aw48A4fWwvXfwMVN/Y7OGGPSRbBJ8jqgWHoGEkdEwkXkNRHZKCInvOXrIpIjoI6ISD8R2SEix0UkSkRqZER8JjSIwPDhcPSo1yXKmCxg/b713PPFPdT8v5p8+8e39L2uL5t6b2JA8wGUyF/C7/BMaHoBKB6wPggoi5ta6XqgX7AHUtUoVZUESqeAOsNVtYKq5lbVuqo6LzXBi0grERkZHR2dmsOY9KAKb70F7dvDNdfA3Gnw58Nw6De4/mso1cLvCI0xJt0EmyQ/A/zbG7wrvT0L9AAeAy4HHvfWn4sXz1NAL6Aerp/09yJSIAPiMyGiWjXo0wc++QTmzvU7GmNSbvvh7XSb0o0aw2swfcN0Xmj8Apt7b+bNG9/konwX+R2eCW2X4qaBQkTyArcAT6rqU8C/gbY+xnZBqjpFVbtFRCTngbdJd2fOQI8e8OyzcM898P33rq9TjrzQ+Cso3dLvCI0xJl0F2ye5H+5J8loR+QM4EG+/qmpajfvfCJji9VMC2CQik4H64J4i45p79VfVSd62jrhEuQPwQRrFYTKBF16A8ePh0Udh+XLIlcvviIwJ3sHjB+n/Y3/eXfwuMbEx9KjXg+evf96eGpvkyAMc9143wl3Xv/PW1+P6DBsTvOPH3dPjb75xTbVefQ5yAuFFoNl815TLGGOyuGCfJMfgLrYLgb3eemCJTcOYfgSaisjlACJSHbgBmObtr4ibgiLuRwCqehyYh/uBYLKRfPlg2DA36OagQX5HY0xwjp8+zoAfB1Dp3Uq8vfBt7qp+F+t7rmfozUMtQTbJtQnXNxigNbBUVQ956yWAQwm9yZgEHTwILVrA5Mnw7rvw+vMwtyX8eI9rfm0JsjEmmwjqSbKqRqZzHIEGAAWANSISg4vxDVUd7u2Pm6Mx/ryMu4EyCR1QRLoB3QCKFy9OVFRUWsecbURHR4fc+cufHxo3rkG/fkWpUOEXSpY84XdISQrFc5iZZObzp6rM2zePEX+NYNeJXdQvWp+uNbpyacSlbF6xmc2k//hHmfn8hYoQO4cfAO+ISFugNvBowL6GwBpfogqSTQEVQrZvh5YtYf16N1hX25YwuwUc/BWum2gJsjEmWwm2uXVGuhd4ENd0+jfcRX+oiGxU1f8G1Is/N7MksM1VVB2JG8SEqlWramRkZFrHnG1ERUURiudv7FjXR3ncuAZMnux3NEkL1XOYWWTW87di1wp6z+xN1KYoapaoydh7xnJDxRsyPI7Mev5CSSidQ1UdKiL7gAbAu6r6ScDuAsD//IksODYFVIhYtw5uugkOHIDp0+H6ejCnJRxYCtd9AWVv9ztCY4zJUEEnySJSCjdYVhOgKLAfN3fyIFXdlYYxvY2bbmqCt75KRC7BDdz1XyDus0oCWwPeV4J/Pl022US5cvDyy/DMMzBrFjRr5ndExjh7j+7lpTkvMXLZSIrkKcLwW4bTtW5XcoSF4j1Kkxmp6lhgbALbbRZ5c2GLFsGtt0J4uBsFs04dmNsa9v8C130O5dr4HaExxmS4oPoki0gV3JyIjwHRwGLgKG7k6eUiclkaxpQP1885UAznYt2IS5SbB8SXB2iM6zNtsqlevaB8eXjuOdd1yhg/xcTGMGzxMKoMq8KoZaPodU0v/uj1B4/We9QSZGNMaJgxA264AQoVggULXIIMUOs1L0EO6cHRjTEm3QQ7cNcA4DBQRVWbqmp7VW0KVMENCjIgDWOaAvQVkVtFpILXz+pJ4Ctww2gDQ7w6d4jIFcBoXPI+Lg3jMJlMnjzwyiuwZAl8+aXf0ZjsbPmu5TT8b0N6Te9FvdL1WPnoSoa0HEKRvEX8Ds1kQSLSTUR+FZFjIhITv/gdX1JsnmQfTZgArVpBlSouQb6kJPz5P3eXuUgtS5CNMdlasElyU+BFVd0UuFFVN+Omh2qahjH1AiYCw4G1wEBgFPB8QJ23gEHA+8ASoBTQQlWPpGEcJhN64AGoXt1NDXXmjN/RmOwm+lQ0fb7rw9Ujr2bLoS2Mv3M8M++fSfXi1f0OzWRRIvIg8B7wC246qP8Bn+JubP8JvOpfdBdm8yT75IMPoEMHaNQIoqLgogIw9zZY/DAcWu13dMYY47tgk+RcQGIJ6BFvf5pQ1SOq2ltVL1HVvKpaSVX/raonAuqoqvZT1VKqmkdVm6iq/VU3hIfDG2+4MUg++eTC9Y1JK1PWT6H6+9UZ+NNAHq7zMGt7rKXdFe0QGxHWpK/ewH84N6r1cFXtCFTCzZ+836/ATIjq3x8eeQRuucU1t86fE+a2gr3zoeGnULim3xEaY4zvgk2SlwO9ROS8+uJ+/XX39hsTElq3hvr13UBeJ0J7NiiTBew5uoe7Pr+L2yfcTqE8hVjw0AJG3DbCmlabjHIZMA+I9UouAFU9CLyBGzvEGNeM+tln3cAdHTrAV19BTnUJ8p650HAMVGjvd5TGGBMSgh095lVgKrBWRD4DduJGl74bd4G+NX3CMyb5RNyN8qZNYfhwePJJvyMyWdUXv31B92ndOXLyCG/e8CZ9GvUhZ3hOv8My2ctxIExVVUR24Z4g/+ztiwZsAmIDMTHu6fGHH0L37vDeexAWBjvnuCfIDT6GCh38jtIYY0JGUEmyqs4QkduA13F9g+PmJF4K3Kaq36VfiMYkX2QktGgBb74JXbq4gTuNSSv7ju2j57SefPbbZ9QrXY/RbUZbv2Pjl1VAZWAWMB/4t4hsBM7gxgxZ519oFyYirYBWpUtbLp9uTp2C+++HL75wA3a8GtBNvVQLaPUH5L/Ev/iMMSYEBdvcGlWdoapXAwWAckABVb1GVWemW3TGpMKbb8L+/TBwoN+RmKzk63VfU2N4Db5c+yVv3PAGC7sstATZ+GkkENe2/0UgAvgR9zS5CvCUT3EFxQbuSmfHj0ObNi5BHjgQXnsNYk/CvDaw/VtXxxJkY4z5h2RP1qmqx4Bj6RCLMWmqbl245x4YNAh69ICLL/Y7IpOZ/X3ib3pN78WnKz+ldsnafP/A99S6uJbfYZlsTlU/C3i9QURqAA2BfMBCVd3nW3DGX0eOwO23w9y5MGoUPPwwxJyAeW1h50wo28bvCI0xJmQlmiSLyEvAh6q6w3udFFXV19I2NGNS77XXYNIkN+L1u+/6HY3JrBZuXUiHSR3YdngbL13/Es9f/zy5wtNsUH9j0oyqHsU1vTbZ2cGDcPPNsGQJjB0L7dtDzEmYfyfsnAH1P4RLO/sdpTHGhKykniT3A2YAO7zXSVHAkmQTcqpUcX2SR4yAJ56AihX9jshkJjGxMfT/sT8vR71M+ULl+fGhH2lQtoHfYZlsTkQuBT4HXlHVyYnUuR14GbhTVTdlYHjGb3v2uEE51q51d4lbt4bY0zD/LtgxDa4ZCZd28TtKY4wJaYn2SVbVMFVdHPA6qRKecSEbkzwvveQG8ezf3+9ITGay/fB2mo9pzgtzXuDuGnfz679+tQTZhIreQGxiCTKAt+8M8FiGRWX8t307NGkCv/8OU6e6BBlAcri+x/VGQOWu/sZojDGZQFADd4lIeRFJcF4TEckhIuXTNixj0k6ZMtC5M4weDTt2+B2NyQymrJ/ClSOuZPH2xfyv9f8Yd8c4CuWxIdJNyGgOfBREvY+Am9M5FhMqNm6Exo1dojxzJjRvDjGn4Ng2NzdivWFw2b/8jtIYYzKFYEe33ghclci+K739xoSsp5+GM2fcIF7GJOZ0zGmemPEEt0+4nfKFyrO021I61e6EiPgdmjGBLgHWBFFvHVAhfUNJHRFpJSIjo6Oj/Q4lU8u7datLkA8dgh9+cK9jT8OCe+G7hnD6iN8hGmNMphJskpzUL8ScQGwaxGJMuqlUCdq1c32TDxzwOxoTinYe2ckNn9zAkEVDeOyax/ipy09Uvaiq32EZk5DTQDAjx+XCNbkOWTYFVBr47TeuevxxNx/ynDlQr56XILeDbV9DtWcgZwG/ozTGmEwl0SRZRAqLSCURqeRtKhO3HlBqAB2BXRkSrTGp0LcvHD0Kw4b5HYkJNT9u+ZE6I+uwbOcyxt85nqE3DyV3jtx+h2VMYv4Arg2i3nXA7+kci/HTihUQGYmGhbmpnmrV8hLk9rD1S6gzBKr28jtKY4zJdJJ6kvw4sAF3MVZgovc6sKwE/gWMTN8wjUm9mjWhVSsYOhSsZZ8BUFWG/jyUph83pUCuAix6eBHtrmjnd1jGXMhEoFfATex/8EbA7gl8kWFRmYz1yy/QtCnkzcvyIUOgWjW3ffUbsHUS1BkElz/ub4zGGJNJJTUF1NfAJlxT64+A14E/49U5CaxR1ZXpEp0xaey556BRIxg1yk0JZbKvo6eO0nVKV8avHk/rqq35uM3HNjiXySyGAvcDi0XkDWAKsNnbdwnQCvg3bgpHmyE+K1q40M2DXKwYzJ7N8U2bzu2r9iQUrAIVOvgWnjHGZHaJJsmqugJYASAiCkxV1f0ZFZgx6aFhQzc7xsCB0L075LYWtdnSpr830Wp8K9bsXcObN7zJs9c9S5gEO0SDMf5S1WMiciPwKTAQeCdeFQF+AB5Q1WMZHZ9JZ3Pnwq23QunSbpCucuWQjX/CmgFQpRfkLGgJsjHGpFJST5LPUtWP0zsQYzLKc89By5bw6afQpYvf0ZiMtnDrQtpMaMPp2NPMuG8GzS9t7ndIxiSbqu4CmolIPaAZUM7btRWYpaq/+BacST8//OD6DVWo4F6XKgWxMVz+d3/YOQvylYcK7f2O0hhjMr2gkmQAEbkC6AJUBfLE262qemNaBmZMemnRAurUgQEDoFMnCA/3OyKTUcauHMtDkx+ifKHyTG0/1UavNpmelwxbQpwdzJwJbdrAZZfBrFlQogTExsDPnbn4+Cy48j+WIBtjTBoJqn2hiNQHlgA3AzcBRYBKQCRQmaSniDImpIi4p8l//AGTJvkdjckIsRrLi7Nf5P6v7qdRuUb83OVnS5CNMZnHtGnQujVUrQqzZ59LkBc9BJvG8FeBLlCjr99RGmNMlhFsJ7w3gS+BGriEuIuqVsA18QrHDeplTKbRti1UqQL/+Q+o+h2NSU/HTh/j3on38vr813n4qoeZef9MiuUr5ndYxhhARFqJyMhom3IgcVOmuItWjRouQb7oIrf9+HbYOQNqvsqWAvf7G6MxxmQxwSbJtXADhMSlE+EAqjoblyD/J+1DMyb9hIfDs8/C8uWuBZvJmnZF76LJ6CZMWjOJgS0GMrLVSHKF5/I7LGOMR1WnqGq3iIgIv0MJTV99BXfeCVde6ZpYFy0KGuvu7uYvD7eshpov+h2lMcZkOcEmyTmBo6oaCxwASgXsWw9ckdaBGZPe7r8fypaF/v39jsSkhz/2/0Gj/zZi7d61fNPuG55s+CQi1jPEGJNJTJwI99wDdevC999DkSIuQV78L1je1yXKeYr7HaUxxmRJwSbJfwJlvNcrgYdEJExEwoDOwK70CM6Y9JQrFzz+uJtNY/lyv6MxaWnJjiVc+9G1HDl1hDkd59Cqaiu/QzImzYjIlyJS2Xv9oIhY/4Gs5rPPoF07qF/fNXcqVMhLkB+BPz+EsJx+R2iMMVlasEnyFNwgXeD6J98MHAYOAh2AQWkemTEZoEsXyJ8fhg71OxKTVr778zsiR0eSP1d+Fjy0gHpl6vkdkjFprTVQ1Hv9P+BSH2MxaW3CBOjQARo1gunToWBBlyD/0h3+HAU1/g21XnOjUBpjjEkXwc6T3C/g9SwRaQDcCeQDZqjqd+kTnjHpq0gRNw3UqFGu2fXFF/sdkUmNsSvH0umbTtQoXoPp902nVIFSF35TEg4fPsyePXs4ffp0GkXov0KFCrF27Vq/w8g0cubMSYkSJShYsKDfoQTaDTQEFuMG07ThB7OKcePggQfguuvg228hrq/20t6w4QOo/izUet0SZGOMSWdBz5McSFV/BX5N41iM8cVjj8H778OIEfDyy35HY1Jq4MKB9Pm+D5EVIvn63q8plKdQqo53+PBhdu/eTZkyZcibN2+W6c985MgRChQo4HcYmYKqcvz4cbZv3w4QSony58BgERmES5B/TuLfp6pqiq71JoONHQsPPvjPBBmgRGPIkR+ufNMSZGOMyQB24TTZXpUqcOutMHw49O0LuXP7HZFJDlWl76y+vLXwLe6ufjdj2o4hd47U/0fcs2cPZcqUIV++fGkQpcmMRIR8+fJRpkwZduzYEUpJ8hPAAqA68DIwGtjuZ0AmlT79FDp2hOuvh6lTXT8gVfh7JRS5Esrf7YoxxpgMkWiSLCIbCb4Jl6qq9Ykymdbjj0OLFq4rWMeOfkdjghWrsfSe0Zv3Fr/HI3UfYdgtwwgPC0+TY58+fZq8efOmybFM5pY3b96QanKvqgp8ASAinYChqrrC16BMyo0Z4/r9NGni5kSOS5CXPQG/vw8tl0KRWn5HaYwx2UpST5LnYv2cTDbRrBlUrw5DhrjWbtaaLfTFaiyPTH2EUctG8WSDJ3mnxTtp3iQ6qzSxNqkTyv8OVLWi3zGYVBgzxt2ZbdrUJcj58nkJ8lOwfihUfRwK1/Q7SmOMyXYSTZJVtVMGxmGMr0Sgd2/o1g3mz3ct3kzoOhN7hoe+eYgxK8fwQuMXeLXpqyGdyBiTnkSkFPAU0AQ36vV+IAoYpKoZOkWjiFQAPgJK4m60N1HVfRkZQ6YR18Q6foL869OwfjBU6QV1BttdW2OM8UGwU0AZk+Xdfz8UK+aeJpvQdSb2DB0mdWDMyjG83vR1XrvhNUuQs5HIyEh69ux5dr1ChQq88847Sb4nmDqZlYhUAVYAjwHRuBGvjwKPA8tF5LIMDuljoJ+qVgcaAUcy+PMzh7FjXYIcGXkuQQbYPhXWDYTLekDdoZYgG2OMT4IauEtEHrxQHVX9JPXhGOOfvHnhX/+C//wH/voLKlXyOyIT38kzJ+m3ph8L9i9gYIuBPNnwSb9DCkl79+7l5ZdfZtq0aezcuZPChQtzxRVX0LdvXxo0aOB3eEEZPXo0PXv2JDo6+rztX375JTlz5vQpqpA0ADgEXKOqm+I2isglwHfe/jsyIhARqQGcVtV5AKp6KCM+N9MZP97167n++vMTZIAyt0HjSVC2rSXIxhjjo2BHtx6dyPbAPsuWJJtMr3t3eOstGDYMBg3yOxoT6MSZE7T9rC0L9i/g/Vvep3u97n6HFLLuvPNOjh07xn//+18qV67Mnj17mDt3Lvv37/c7tFQrWrSo3yGEmqbAI4EJMoCqbhaRfsDwYA8kItcDfYC6QGmgs6qOjlenO/A0UAr4DeitqvO93ZcBR0TkG6A8MEVVX0rBd8q6JkxwzZYaNz5/FOu1b0HZNlCwKpTLkHsaxhhjkhBsc+uKCZSrgVeAP4D66RKdMRmsTBm45x748EM4fNjvaEycUzGnuPuLu5mxYQZ9qvSxBDkJf//9N/Pnz6d///7ceOONXHLJJdSrV48+ffrQrl07IOHmx/GbMX/55ZfUqlWLvHnzUrRoUZo0acLu3bvP7v/222+pX78+efPmpVixYrRq1YoTJ04AcOrUKZ599lnKli1L/vz5qVevHjNnzjz73qioKESEqVOnUrt2bfLkyUPdunVZunTp2f2dO3fm6NGjiAgiQr9+/RKMEyA6Opr777+fiIgISpYsecGm1YcOHaJbt26UKFGCAgUK0KRJE5YsWZLMMx0ycpF4k+Yj3v5gRQCrcU21j8ffKSL3AkOBN4GrgIXAdBEp71XJAUTimn5fA9QVkbbJ+Pys7bPP4L77zs2DHJcgr3wJlveFv/7nd4TGGGM8QSXJqro5gbJMVV8FxgPW5tFkGY8/DkeOwOjRfkdiwPVBbj+pPVN/n8qIW0dwa6lb/Q4ppEVERBAREcHkyZPPJq3JtWvXLtq1a0fHjh1Zu3Yt8+bN44EHHji7f8aMGbRu3ZrmzZuzdOlS5syZQ5MmTYiNjQWgc+fOzJ07l3HjxrFq1So6duxIq1atWLHi/FmK+vTpw4ABA1iyZAmVKlXi1ltv5dixYzRq1IghQ4aQL18+du7cyc7/Z+++w6K4vgaOfy9VpNmIBSMajShoBEvsDbGLmsQWjYo9sSeWxBIlolF5rfFnj73FSDQqKjEqoCZiRY2imGCJCvbYQRDu+8fACgi4CrKU+3meeZidmZ05OyK7Z++950ZGMnLkyDTjnTVrFhUrVuTEiRN89913jB07ls2bN6d6rJSS1q1bc/36dfz8/AgJCaFBgwa4ubkRGRn5RvfLwE4CQ4QQyd7PhTZQf2DCfr1IKXdKKcdKKX2B+FQO+QpYKaVcKqU8J6UcAkQCXyTsvwYcT/iMEAv4AS6v/5JyoU2btAS5Tp0XCTLAX9/B2clQti9U+d6wMSqKoig6+na3Ts8BVJKs5CIffqh9jvnhBxg0CIwzZ9pd5Q3ExcfRfUt3Np/bzJzmcxhQfQCBgYEGiWX4cDipd7qROVxcXr+QnImJCStXrqRfv34sWbIEV1dX6tatS8eOHalZU79OPxEREcTGxtKhQwccHBwAqFSpkm6/t7c3HTp0YPLkybptH3ygzeMaHh7Ohg0buHz5MqVKaQ2MgwcPZs+ePSxevJgFC170/v32229pnCHjUwAAIABJREFU3rw5ACtWrKBkyZKsX7+evn37YmtrixCCYsWKvTLemjVrMm7cOADKly/P0aNHmTVrFh9//HK31YCAAE6ePMnt27d182B7e3uzfft21qxZw+jRo/W6R9nIJLRk9JwQYiNa0loM6IjW/TlTvlUSQpihdcNO2Uy/G61AF8BRoLAQojBwD63a9pZ0ztkf6A9gZ2dnsP/bb1uRoCCcJ03ioZMTp8eMIS6h14LDo1WUebSSSIsWhD39FIL2v/E1Hj9+nGvvX1ZR9zBj1P3LGHX/Mi6z72FmJMm10CpqKkquMWwYdO4M/v7QWjVcGkS8jKfPtj78dOYnprtPZ1itYYYOKcf45JNPaN26NQcOHODQoUP4+/szc+ZMpkyZwpAhQ175/CpVquDu7k6lSpVo1qwZ7u7udOjQATs7OwBCQkLw9PRM9bknTpxASomTk1Oy7c+ePcPNzS3Zttq1a+vWraysqFy5MqGhoa/5apOfJ/FxWi3Jx48f5+nTp7rXkig6Oprw8PDXvrahSSn9hRBtgMnAOECg1Qs5DrSRUu7OpEsVAYyBmym23wTcE2KJE0J8DQQkxBEE/JxO7EuAJQCOjo6yUaNGmRRqNrJ1K0yeDDVrYvvbb9S3tta2x8XAvglg50nxmssoLjI22UhgYCC58v5lIXUPM0bdv4xR9y/jMvse6lvdOrXCG2ZAJbRvqf+XaREpSjbw0UdQvDjMn6+SZEOQUvKF3xesOrWKSY0mMbqu4Vv3ctrUYPny5aNp06Y0bdqUCRMm0LdvX7y8vBgwYABGRkZIKZMdHxsbq1s3NjZm9+7dBAcHs3v3bpYtW8aYMWMICgqiSpUq6V43Pj4eIQRHjx59qQp1YsutIcXHx1O0aFEOHDjw0j4bGxsDRJRxUkp/wF8IkR8oCPwnpXz6ti6X4rFIui0hKf9A35MJITwAjxIlSmROdNmJnx907AhVq8KuXZCYIMfHgrEZNPYHI3PIYIKsKIqiZD59W5K9Utn2DLgCTAGmZlZAipIdmJpC//4waRKEh0PZsoaOKO+QUjLMfxhLTixhbL2xjG8w3tAh5QpOTk48f/6c6Oho7Ozsko2/jY6O5vz587i6uuq2CSGoXbs2tWvXZsKECTg7O7Nx40aqVKmCq6sre/fupV+/fi9dx9XVFSklN27coHHjxunGFBwczHsJc609efKEM2fO0KOHNuOgmZkZcXFxer224ODglx5XrFgx1WOrVq3KzZs3MTIy0l07t0hIjN9WcnwHiEPryp3UO7zcuqw3KeV2YLujo+PLv0w5mb8/fPIJfPAB/PYb2Npq289OhYidWoJsYmnYGBVFUZQ06Vu4yyiVxUJKWUFK6SWlfJaZQQkhigshVgkhbgshooUQoUKIhkn2CyGElxAiQggRJYQITJifUVEyTf/+2njkhQsNHUne8m3At8w7Mo+van3FZLfJCDVX6Gu5e/cubm5urF27ltOnT3Pp0iU2bdqEj48PTZo0wcbGBjc3N9atW0dgYCBnz56ld+/eyVqSg4ODmTx5MkePHuXff/9l27ZtXL16VdeFety4cWzatInx48cTGhrK2bNnmT17Nk+fPqV8+fJ069YNT09PfH19uXjxIseOHWPGjBkvdYGePHkyv//+uy4GMzMzunbtCmgVuKOjo/n999+5c+cOT5+mnfsFBwczdepU/v77b5YuXcrq1av58ssvUz3W3d2dunXr0q5dO3bt2sWlS5c4dOgQEydOTLV1WdFIKWPQunA3TbGrKVqVayXRnj3Qvj04OcHu3VCggLY9dDqcGgv5S4FRPsPGqCiKoqQr2/XxEUIUAP5A68LVGqgIDAFuJTlsNDAiYXuNhH2/CyGsszZaJTcrUULrdr18OaTz+VzJRPMOz2PKgSn0de3LjGYzVIL8BqysrKhVqxZz586lYcOGODs7M3bsWLp27crGjRsBGDNmDG5ubrRr145mzZpRr149qlatqjuHra0tf/zxB23atOH9999nxIgRfPvtt3z22WcAtGrVii1btrBr1y5cXV1p2LAhAQEBGBlpbykrVqygV69ejB49mgoVKtCmTRv279+vKwKWaNq0aYwYMYKqVavy999/4+fnh2VC1d86derw+eef8+mnn2JnZ4ePj0+ar/mrr77i9OnTuLq6Mn78eCZNmkSHDh1SPVYIwc6dO3Fzc6Nfv344OjrSqVMnwsLCyJVdfl+DEMJKCOEihHBB+3xQKuFx4hRPswBPIURfIURFIcRctPmUF2Xgmh5CiCWPH+eS0ib79oGHBzg6asly4rze52Zo0zw5fAq1V4GRqgipKIqSrUkp9VrQCnb0QiuysSPhpydgrO859LzO98Af6ewXaNU7xyXZZoE2H+SAV52/fPnyUnlzAQEBhg4hSwUGSglSLluWeefMa/dQXxv+2iCFl5Dtf2ovY+Ni0zwuq+5faGhollwnqz18+NDQIciAgAAJyNu3bxs6FL0l/X1I+TsIHJOZ+D5oqAVtjmOZyrIyyTEDgctoQ66OAw0y49q54r15/34p8+eX0tlZylu3Xmy/sFDKdUh5oLOU6fxtywj1vpJx6h5mjLp/GaPuX8Zl9nuzXi3JQggH4CywDGiBNgapBbAcOJOwP7O0Bw4LITYKIW4JIU4KIQaLF01KZdDGROkqdkopo4D9vJiGQlEyRYMG4OysFfCSKcvVKJnm9/Df6bGlB/Ud6rPhkw2YGGVG4X1FUV6HlDJQSilSWTyTHLNASllaSmkupawmpXzzeYtyk0OHoFUrKFUK9u6FpNXTi7rB+4OgzlpQf9sURVFyBH3/Wv8PsAHqSSl1Y4+EEHWBTcA8oG0mxfQe2jfVs4FpgEvC+RPjSCwakto0FPapnTCvzMWYFfLiPG5Nm5ZgzpzyLFx4Aienhxk+X168h+k5//A8X576knct3mVUyVEEHwxO9/isun+2trY8evTorV8nq8XFxRn8dSWOL378+DHm5uYGjUVf0dHRut879X848+SK6tbHjkGLFlCsmJYgFy2qbb+1H+zqg015qKEmAVEURclJ9E2S3YCBSRNkACnlH0KIsWTuFFBGaM3jYxIehwgh3gcGpbhOutNQpIgz98/FmEXy4jxu1arBsmVw6FBVBg7M+Pny4j1MS9idMDqu6Ehxm+Ic7H2Q4tbFX/mcrLp/586dw9o695U5ePTokcFfV6tWrRK77uYY+fLl01X/zm7/h4UQy4EJUsprho7ldcmcXt361Clo1kwbe7xvn1bMAiBsHhwfCjWXQ9leho1RURRFeW36Fu56TPLCWUndInOnnIgEQlNsOwckFg65kfAzU6ehUJS0WFtDz57w889wK63/Bcpri3gUQfO1zREIfvvsN70SZEVRUtUTKAQghDASQuxL+HJZeZvOngV3d7C01BLkd9/Vtl+YryXIJdtDmc8MG6OiKIryRvRNktcCn6exbwCwOnPCAbTK1o4ptpVHm5MZ4BJaoqybhkIIkQ+oj5qGQnlLBg6EmBitRVnJuEfPHtFyXUvuRt1lV7ddvF9YfZ5XFH0JIW4IIfyEEN8JIdolbE5smhdoBbhyRDeIHFvdOiwMmjQBU1MtQS5TRtt+YQEcGwz2baHuRjAyNWyciqIouZSUkri4OGJiYoiKiuLp06fcv3+fO3fucPNmxttN9e1u/Q/QUQjxF/ALWottUaAD2hvxLiFE7yRBL89ATLOBP4UQ44CNgCswFBibcG4phJgDjBNCnAcuAOPRWrvXZ+C6ipKmihXBzQ0WLYLRo7X5k5U38zz+OZ19O3P21ll2dttJtRLVDB2SouQ0w4BqaF8OD03Y9rMQ4gBwhBdVqbO9HNndOjxce0OIj4eAAHg/4Uu+J//CiS/B3gPqbQJjM8PGqSiKkgopJTExMTx79izZkrgtJiZGt6R8HBMTQ2xs7EvrsbGxr1yeP3+ebD1xSfk4rSUuLu6l9bdJ3yR5fsLPkoBzKvsXJFmXaFWv34iU8qgQoj3aVFDfAv8m/Ex6DR+0aZ/mAwWBw0AzKWXuq7KjZBuDBsEnn4CfH7Rr9+rjlZdJKRm6ayi7/tnF4jaLaVa2maFDUpQcR0q5Ee1LZBJmfogDtqPNWTwOrTV5sxBiJ7BDSrnTULHmOv/+q7UgR0drCXLFii/2WZaCJvugUHWVICuKohcpJVFRUdy/f5/Lly/z9OnTVJfEltLo6GiioqKSLdHR0bol5eNnz5699DMmJuatvBZTU1NMTU0xMzPTrZuammJiYpLmer58+bCyssLU1BRjY2Pd9qSLsbFxqo+NjY2T7bt8+TKOjo667YMGDcrQ69E3SS6Toau8JinlDrS5mNPaLwGvhEVRskTbtmBvr00HpZLkNzMneA4Ljy1kVJ1R9K/W39DhKEqOJIToCRwDQhN6VwGslVKeFkKYADFow6TKAqsAuzRPpujvxg1tDPJ//2ldrD/4QNsevgxMrMChM9jVNWyMiqK8VbGxsTx69IiHDx/y8OFDHjx4wMOHD3n06JFuefz4cbL1x48f8+TJE9164uMnT57oZnt4Xebm5lhYWJAvXz4sLCx064mLra2tbt3c3Bxzc/Nk6ykXMzOzl9bNzMx064nJb+KSNBk2MzPD2NiYF7P1GkbKoppZkiRLKa+8+ihFyd1MTGDAAJgwAS5cgPLlDR1RzvLr+V8ZsXsEn1T8hGnu0wwdjqLkZBPQvryOEkKcRuvBVU8IcQ14kHDMFinlCWHoTy2vkGOmgLpzR0uQIyJg925t2gOA8OVwuB+UaAWlOkH2vt2KkudJKXn48CH37t3jv//+0/1MXL9///5Ly4MHD3Q/o6Ki9LqOhYUF1tbWWFtbY2VlhaWlJTY2NpQoUQJLS0usrKzInz8/lpaWWFpacv36dVxcXHTb8ufPj4WFBfnz59etJ02GjYz0LSulvKnXmtVeCFEJaIhWRfMusF9KeeZtBKYo2VG/fuDtDQsWwJw5ho4m5zgWcYxum7tRw74Gqz9ajZFQf9yzi/j4eL744gt8fX25d+8eAQEB2Wp6I19fXzp27Jjjpox6m6SUZYUQBdDGJVcHaqINQ5oH/I2WNDcSQlyUUt43XKSvliPGJN+/r03zFB4OO3ZAnTra9osr4XBfKNYU6vuqBFlRDODZs2fcvHmT27dvv7TcuXOHO3fucPfuXe7evcudO3e4d+9eumNZzczMKFCggG6xtbWlVKlS2Nra6hYbGxtsbGySrScmxIlJsfFrFq/JblMLKnomyQndt1YCn6KNdUokhRDrAU8pZVzmh6co2UuxYtq45JUrYcoUbeYPJX3/PvgXjw0e2OW3Y1uXbeQ3zW/okHI1T09P7ty5g5+fn17H79y5kxUrVhAYGMh7771HoUKFMhyDl5cXvr6+nDmjvkN9WxKS373AXiHEVKAuEAs0QKvh8S0wXQhxVEpZx3CR5nCPH0OrVnDmDGzdqhXsAri4GoJ7QzF3aPArGOczbJyKkotIKbl79y6RkZFEREQQERFBZGQkkZGR3Lx5kxs3bnDz5k1u3rzJgwcPUj2HqakpRYoUoUiRIhQuXJiKFStSuHBh3VKoUCEKFSpEwYIFKViwoG7dwsLC4N2GlexB35bkiUAntC5ea9GmYCoGfJaw72LCT0XJ9QYOhJ9+gg0boG9fQ0eTvT169og269sQFRvF3h57KWpV1NAhKSn8888/FC9enDp1VB6Vw0kpZagQIgwtSW6C1qLc0rBh5WBRUVoxiiNH4OefoWWSW/nwPBRrAg22gomF4WJUlBxGSsmtW7e4cuUK165d49q1a1y9ejXZemRkZKrFpQoUKEDRokUpVqwYLi4uFC1aVLfY2dklW2xtbVWyq2SIvknyZ4C3lHJKkm1XgClCCGOgFypJVvKIevWgcmWtgFefPqqHXVriZTw9fu1B6O1QdnXbhZOdk6FDynMSW5WbNm2Kj48PT58+pXXr1ixZsoT8+fPj6enJqlWrABBC4ODgwOXLl5FS8n//938sXryYiIgIypUrx9dff81nn32mO3dERASjRo3C39+fqKgoypcvz+zZs7ly5Qrfffed7pwAK1aswNPTkwcPHjBq1Ch+/fVXoqKiqFq1KjNnzqR69eq6865evZpvv/2W27dv4+bmRsuWKsfTQy+0mSCSkVKGACFZH04uEBOjdRsKDIS1a+Hjj7Xtz5+AiSVUmQLxsaqKtaKk4t69e4SHhxMeHs6lS5e4fPkyV65c0f2Mjo5Odry5uTklS5bk3XffpV69epQsWZISJUpQvHhxSpQoQYkSJShWrBgWFuoLKSXr6JsklwAOpbHvT7QpJxQlTxBCa03+4gsIDobatQ0dUfY0KWgSv57/lTnN59C0bFNDh5NnHThwgOLFi7Nnzx6uXr1Kp06dmDt3LmPGjGHu3Lk4ODiwfPlyjh49qhtDNX78eHx9fZk/fz6Ojo4cOnSIfv36UbBgQVq3bs2TJ09o2LAh77zzDlu2bMHe3p5Tp04B0LlzZ86cOYOfnx+BgYEA2NraIqWkdevW2Nra4ufnR6FChVi1ahVubm6EhYVRvHhxDh8+jKenJ97e3nTs2JGAgADGjh1rqFuXY0gpVyVZjxNCNAbCDBhSzvb8OXTrBrt2wdKl0LWrtv3yTxDyFTQJBJvyKkFW8rT//vuPsLAw3fLnn3/y6NEjLl68yP37yUshFClShNKlS1OpUiVat25N6dKlcXBw4N1336VkyZIUKVJEtfoq2Y6+SXIE2ninPansq5OwX1HyjG7dYPRorYCXSpJftvncZr4L+g5PF0+G1hxq6HAyx/DhcPJk1l7TxSXDFeJsbGxYuHAhJiYmVKxYkfbt27N3717GjBmDra0t1tbWGBsbU6xYMQCePHnCrFmz2L17N/Xr1wegTJkyHDlyhPnz59O6dWvWr1/PjRs3OHToEEWKFAGgbNmyumtaWVlhYmKiOyfAvn37OHnyJLdv39a1Bnh7e7N9+3bWrFnD6NGjmTt3Lk2aNGHcOO171/Lly3P06FGWLVuWoXuQ10gpgwwdg76yXXXr+Hjo3x98fWHWrBdjaq5shEPdwK4+5Lc3bIyKkkWklFy/fp2zZ89y9uxZQkNDOX/+PBcuXOD27du640xMTChatCiVKlWiVq1alC1bVreUKVMGS1XARcmB9E2S1wHjhBDxCeuRaGOSu6C1Ik9/O+EpSvZkbQ09e8KSJdrnKDs1C6nOXzf/oseWHtS0r8nC1gvVt8MG5uTkhInJiz/1xYoV48SJE2keHxoaSnR0NC1atEj2bxcbG0vp0qUBCAkJ4YMPPtAlyPo4fvw4T58+xS7Ff5bo6GjCw8MBOHfuHB4eHsn2165dWyXJuVi2qm4tJXz1FaxYAV5e8OWX2vZ/N8Gf3cCuHjTaoXW3VpRc5uHDh5w6dYqTJ09y+vRpXVKctDCWnZ0dFSpUoF27djg6OuqWMmXK8Mcff6jqzEquom+S7AW8B3yXsJ5IABsStitKnvLFF/C//8Hy5fD114aOJnu48/QObX9qi425DZs7byafSS6q+JpD5/wyNTVN9lgIQXx8fJrHJ+7bvn07pUqVSvVcbzIdU3x8PEWLFuXAgQMv7bOxsXnj8ypKpvHygrlzteR4wgRt24198MenUKQ2NFQJspI73Lp1i6NHjxISEsLJkycJCQnh4sWLuv2FCxemUqVKdOvWDWdnZ93yOl+MKkpOp1eSLKV8DnQVQnwP1EebJ/keECSlDH2L8SlKtuXkBI0awcKFMHIkvOaUeLlObFwsnTZ1IvJRJPt77aeEdTbpPqm8FicnJ8zNzbly5QpuidPdpFC1alXWrl3LnTt3Uv3QZGZmRlxc3EvPuXnzJkZGRrz33ntpXjs4ODjZtpSPFeWtmDkTJk3SqjHOnPmiImORWlDhS6g0AUytDBujoryBx48fc/z4cY4cOcLRo0c5cuQIV65c0e0vV64c1apVo0+fPri4uODi4kLx4sVVLzAlz9N3nuQiwGMp5RlATXypKAkGDYKOHbX6Lm3aGDoawxq5eyQBlwNY1X4VH9p/aOhwlDdkbW3NyJEjGTlyJFJKGjRowOPHjwkODsbIyIj+/fvTtWtXpk2bRvv27Zk6dSolS5bkr7/+wtramsaNG1O6dGmuXLnCiRMnKFWqFNbW1ri7u1O3bl3atWuHj48PFSpU4MaNG/j7++Pu7k79+vUZOnQoderUYerUqXTo0IHAwEC2bNli6Fui5HZLl2rfdHbqBIsXawnyjX1QqBqY2YLr/xk6QkXR2/Xr1zl48KBuOX36tK6HUOnSpalZsyZDhgyhRo0auLq6Ym1tbeCIFSV7MkprhxDCWAjhJYS4D9wEHgohfhFCFMi68BQle2vXDooX1wp45WWrTq7ihyM/8GWtL+lRpYehw1EyyNvbGy8vL2bMmIGzszNNmzbll19+oUyZMgBYWloSFBSEvb09Hh4eODs7M3HiRF3LwyeffEKrVq1o0qQJdnZ2bNiwASEEO3fuxM3NjX79+uHo6EinTp0ICwsjsWhTrVq1WLZsGQsXLuSDDz5g8+bNeHl5Geo2KHnBzz/DgAHQqhWsWaN1Cbq2DQJbwKkxho5OUV7p4sWLLF26lO7du1OmTBlKlixJly5dWL58OYULF2b8+PHs2LGDW7ducenSJTZu3MiIESNo0KCBSpAVJR0irTFgQohBwDwgEDiKNib5I2CNlLJXVgWY2RwdHWVYmJoZ400FBgaqwgwpeHlpvfT+/huSFPhNU267h6dunKLWslrULlmb3d13Y2Kkb6mDN5NV9+/cuXNUrFjxrV8nqz169Eh9MHoDSX8fUv4OCiGOSymrp/HULCGE+ABoABQGFkspbwghygE3pZSPDBlbepJUt+53/fr1rL34b7+BhwfUqqWtW1jAdT848DEUdIXGu7WW5Bwgt72vGEJOuYe3bt1i37597N27lz179nD58mUAihYtSr169XRLlSpVXqpJ8TbllPuXXan7l3GZ/d6c3qfZfsBSKeWAJBcbAPxPCDFAShnzphdVlNykXz+YPBkWLYL/y2O98u5H3+eTnz+hkEUhNnyy4a0nyIqiJCeEMAfWAh+jFdOUwHbgBuADXAC+MViAr2Cw6taHDsHHH4OzM2zfnpAg74ADn0CBKtD4txyTICu52/PnzwkODmbHjh3s3LmT06dPA9r8840aNWLEiBE0adKEChUqqHHEipKJ0vtE+x4wMsW2jcBCwAH4+20FpSg5ib09fPSRVuV60iTts1ZeEC/j6bGlB1ceXCHIM4iiVkUNHZKi5EVTAHegO/A72vCoRLuAgWTjJNkgzpyB1q2hRAnw9wdbW4iPhePDoUBlcNsNZmpkmWI49+7dw9/fnx07duDv78+9e/cwMTGhXr16fP/99zRp0oSqVasmm95PUZTMld7/LivgYYptiV22VF89RUli4EDw9dWGt/XsaehosobPHz5sv7CduS3mUufdOoYOR1Hyqk+B8VLK9UKIlDX2LwGlsz6kbOzSJWjWTPs28/ffoWjCl3tGpi+SY7OCho1RyZNu3LjB5s2b8fX1JSgoiPj4eOzs7GjTpg1t2rShWbNm2Nqq3g2KklVe9RWUvRAi6Vwdxkm23096oJTyIoqSRzVqBBUravMm9+jxYvaQ3Grvxb2M2zeOzs6dGfLhEEOHoyh5WWHgXBr7jADzLIwle7txA5o2heho2L8fSpeGyN0QsQuqzgSrMoaOUMljrl+/rkuMDxw4gJSSChUqMGbMGDw8PKhRowZGRmnW2FUU5S16VZLsm8b2X1PZlsdniVXyMiG06aAGD4bDh7U6MLnVtYfX+PSXT3Es7MiPbX9UY6AUxbAuAbWBfans+xBQlSoB7t+HFi0gMhL27oVKlSDyd9jfDqwd4fljMLUxdJRKHvDgwQM2bdrE6tWrOXDgAACVKlVi4sSJdOjQAWdnZwNHqCgKpJ8k59gK1opiCD16wNixMG9e7k2SY+Ji6LSpE1HPo9jceTNWZlaGDklR8rrVwFghxGVgc8I2KYRoDHwJeBkoruwjOhratoXQUPDz0/5A39gL+9uCdXlw26MSZOWtev78Obt372b16tX8+uuvPHv2jAoVKuDt7U2HDh2oUKGCoUNUFCWFNJNkKeWqrAxEUXI6a2vo1UubM3nGDG3+5Nxm9O+jOXTtED93+JkKRdSbuqJkAz5AFWAN8GPCtoNAPuAnKeU8QwWWLcTFQbducOAAbNigjUe+sQ+CPMD6fXDbC/mKGDpKJZcKCwtjyZIlrF27llu3blG4cGH69etHjx49qF69uuqJpSjZmCqLpyiZaNAgmDsXFi/W5k/OTX49/ytzD89lWM1hdHTuaOhwFEUBpJRxQBchxHygOfAOcBfwl1IGGTQ4Q5NSGwOzeTPMmQNdumjb46LB1gka7VIJspLpYmNj2bp1KwsXLmTfvn2Ympri4eFBjx49aNmyJWZmZoYOUVEUPagkWVEy0fvvQ8uWWpI8dizklvfCK/ev0GtrL6qXqI5PUx9Dh6MoSgpSygPAAUPH8bqEEB6AR4kSJTL/5FOmaBPYjx4Nw4bBs7tgXhjsW0GJFiBUQSQl81y7do0lS5bw448/EhkZSalSpZgyZQp9+vShaFE1RaKi5DTqHUJRMtnQoVoRVd+0yt7lMLFxsXT5pQtx8XH89MlPmBnnksxfyVOsrKxYuXKlocPIdEKIE0KI4UKIHPkpXEq5XUrZ38oqk+sb/PgjfPstdO8OU6fCrQOwtQxcTRi2rRJkJZMcO3aMzp074+DgwOTJk3F1dWX79u1cvHiRsWPHqgRZUXIo9S6hKJmsWTOtRfmHHwwdSeb4NuBbgq8F82PbHylbqKyhw1FewdPTEyEEQghMTEwoVaoUX3zxBf/995+hQ1Pejpto45KvCiF2CiG6CCHyGToog9q2DQYMgObNYdkyuPMnBLaE/CWgiJrTXcm4+Ph4duzYQaNGjahRowb+/v6MGDGC8PBwduzYQZs2bTCNDl5NAAAgAElEQVQ2VpO+KEpOlmaSLIT4IM+/0SrKGzAyejEV1NGjho4mY/z/8Wf6H9MZUG0AnZw7GTocRU/u7u5ERkZy+fJlfvzxR7Zv387AgQMNHVaGxMfHExcXZ+gwsh0pZUugJDAabTzyeuCmEGJZQoXrvOXPP6FzZ6hWTevOc/+oliBb2EOTALAoZugIlRzs2bNnrFixgsqVK9OmTRvCw8OZMWMGV69excfHhzJl1FzbipJbpNeSHAJ8ACCEuCiEqJI1ISlKzufpCVZW2nRQOVXEowi6b+lO5XcqM7v5bEOHo7wGc3NzihUrRsmSJWnWrBmdO3dm9+7duv0PHjygf//+vPPOO1hbW9OwYUOOHTuW7BzBwcG4ublhaWmJra0tTZo0ISIiAtA+KA4fPpyiRYuSL18+atWqxcGDBwEtmS1ZsiTzUvzyX7hwASEEISEhesWwcuVKrKys2LlzJ5UqVcLMzIxz584BsGLFCpycnMiXLx/ly5dn9uzZxMfH6577zz//0KhRI/Lly4ejoyN+fn6ZeHezHynlLSnlHClldcAZmA80AfYIIa4YNrosFBYGHh5QsiTs2AHiPwhoARYlEhLkXDjlgJIlYmJiWLx4Me+//z69e/fGxMSE1atXc/HiRUaMGIGNjZpCTFFym/SS5CjAImG9NGD+1qNRlFzCxkZLlH/6CW7eNHQ0ry8uPo6uv3TlaexTfu74MxamFq9+kpItXbx4EX9/f0xNTQGQUtK6dWuuX7+On58fISEhNGjQADc3NyIjIwE4deoUjRs3ply5cvzxxx8EBwfTqVMnnj9/DsDo0aPZuHEjy5cvJyQkhMqVK9OiRQsiIyMxMjLi008/Zd26dcniWLduHU5OTri6uuoVA0B0dDSTJ09m8eLFhIaG4uDgwNKlSxk7diyTJk3i3LlzzJw5k+nTp7NgwQJAS9I/+ugj4uPjOXToEMuXL8fLy4tnz55lxe02OCnlOWASMA6IQGtlzv1u34ZWrcDYGPz9wc4OLN+FKlOgyT6tq7WivKbY2FiWLVtG+fLl+fzzz7G3t8ff35+TJ0/SvXt33d9VRVFyn/SqW58BZgghdiQ87iuEaJHGsVJK6Z25oSlKzjZ4MPzvf7BkiVY/Jifx3u9N0JUgVrVfpeZDTjDcfzgnb5zM0mu6FHNhTos5r/08f39/rKysiIuLIzo6GoBZs2YBsH//fk6ePMnt27exsNC+/PD29mb79u2sWbOG0aNH4+PjQ5UqVViyZInunBUrVgTgyZMnLFy4kB9//JHWrVsDsGjRIvbt28f8+fOZPHky3bt3Z8aMGfzzzz+UK1cOgPXr19O7d28AAgICXhkDQFxcHPPmzaNatWq6OLy9vfHx8aFDhw4AlClThm+++YYFCxYwePBg9uzZQ2hoKJcuXaJUqVIAzJkzh/r167/2fcxphBBuQHfgY8AKOAJMNWhQWSEqCtq2hYgICAgA27vw32MoWAUchxg6OiUHev78OevXr2fSpEmEh4dTo0YNFi1aRPPmzdXcxoqSR6SXJA8HlgPjAQn0TedYCagkWVGScHTU6sYsXAjffAM55Qvn/Vf2473fmx5VetCjSg9Dh6O8gQYNGrBkyRKioqJYunQp4eHhDB06FICTJ0/y9OlT7Ozskj0nOjqa8PBwAEJCQvjoo49SPXd4eDixsbHUrVtXt83Y2JjatWsTGhoKwAcffEDlypVZv349EyZM4PDhw4SHh9O1a1cAjh8//soYAExMTHBxcdE9vn37NlevXmXAgAF88cUXuu3Pnz9HSgnAuXPnsLe31yXIADVr1sTIKHfWqRRCVAI+A7oC9sAVYC6wRkr5tyFjyxLx8VoF68OHtTHI7xvDvqZgXR6aHwaV0CivQUrJ1q1b+frrr7lw4YKuUnXr1q1VcqwoeUyaSbKUMhhwEkIYAc+BumjfSiuKoqchQ6BNG/jlF+jSxdDRvNp/Uf/x2ebPKFuwLPNbzTd0ONnKm7ToGkr+/Pl1Lbg//PADjRs3xtvbGy8vL+Lj4ylatCgHDrw8pW7iuLrEhDM1iftS+8CYdFu3bt1Yvnw5EyZMYN26ddSvXx8HBwcAvWIAbWx10gqxieOOFy1aRJ06qVcpTi/2XOo08ADYhJYY57i5kjPk66+1P7CzZkEjB9jrDmaFoL6vSpCV1xIWFoaXlxdBQUFUrFiRzZs30759e5UcK0oelV5LMgBSynghRC/ggpRSlRZVlNfQsiWULasV8MruSbKUkgF+A4h8HMmfvf/EyiyT5y1VDGbixIm0bNmS/v37U6VKFW7evImRkRHvvfdeqsdXrVqVffv2pbqvXLlymJmZcfDgQd3z4+LiOHTokK6lGLQkeezYsQQHB7Nx40YmT56c7PyviiE1RYsWxd7envDwcHr0SL2Xg5OTE9evX+fq1au8++67ABw5ciRZYa9cpjOwTUqZNwZdJ7VgAcyYoY1t6dFAa0E2KwDuAWBZ6tXPVxTg2rVrjBs3jtWrV1OkSBEWLFhAv379MDF55UdkRVFyMb3+AkgpVwEIIQoBtYFCwF0gWEp57+2Fpyg5W+J0UF9+CUeOwIcfGjqitK08uZJNoZuY2mQqNexrGDocJRM1atQIZ2dnJk+ezLRp06hbty7t2rXDx8eHChUqcOPGDfz9/XF3d6d+/fqMGjWKWrVq0b9/fwYNGkS+fPk4cOAAzZo10827/M0331CkSBHKlCnD7NmzuXnzZrJppkqWLEmDBg34/PPPefDgAR07dtTtc3d3f2UMafHy8mLIkCEUKFCAVq1aERsby4kTJ7h+/TpjxozB3d2dChUq0KNHD2bPnk1UVBRffvllrv3AK6XcZOgYDMLPT+uq4+EBc+ZAcHcwtdGqWFs6GDo6JQd48uQJ06dPZ8aMGcTFxfHpp5+ycOFCbG1tDR2aoijZgN6DtIQQk4HrwDZgFeAHXBdCqLHIipKO3r21atczZxo6krT9ffdvhuwaQuPSjRlVZ5Shw1Hegq+++oply5Zx9epVdu7ciZubG/369cPR0ZFOnToRFhZGiRJaBWAXFxf27NnD+fPnqVWrFjVr1uSnn37SVXKdPn06nTp1olevXri4uHD69Gn8/f0pXjz5FDvdu3fn1KlTtG7dmgIFCui2CyFeGUNa+vbty/Lly1mzZg1VqlShfv36LFmyRDc/qZGREVu2bCE+Pp6aNWvSo0cPxo8fj7l57pmgQQgxQQhRIsl6ekuWlg0UQlwWQpwWQpwUQgS8lYuEhGhzIbu6woYNWkXrWsuh6UGwKv1WLqnkLlu3bqVixYp4e3vTrl07wsLC6N+/v0qQFUV5QUr5ygWtiFc8sBRoCDgm/FwKxAFD9TlPdljKly8vlTcXEBBg6BBypNGjpTQykvLixex3D589fyarL6kuC04rKK8+uGrocF4pq+5faGhollwnqz18+NDQIeRISX8fUv4OAsdkFr6PJbwff5hkPb0lLotjuwxYve7z9H5vjoyU8t13teXCHin3NZfy2T39npuLZbf3lezq0qVL0sPDQwKyUqVK8sCBA7p96h5mjLp/GaPuX8Zl9nuzvi3JnwNzpZT9pJRBUsqwhJ/9gB+Aga94vqLkaUOHal2vZ882dCQvmxgwkWMRx/ix7Y+UtMkbU6oqSk4mpTSSUh5Jsp7eYvyq8+UY0dHw0Udw9y5snAGnu8D9MxDzn6EjU7K5mJgYpk2bhpOTE3v37sXHx4cTJ05Qr149Q4emKEo2pW+SXBrYkca+HQn7FUVJg709dO0Ky5bBw4fZZ2xkwKUApv8xnX5V+/FxxY8NHY6iKK9JCFFKCJHqBHNCCBMhhN4VrIQQDYQQ24QQ14UQUgjhmcoxA4UQl4QQ0UKI40KIlAPIJRAkhDgqhOj2Wi8mPVLCgAEQHAwrJkPEYDAyA/dAsNK/+JuS9xw8eBBXV1fGjBlD8+bNOXfuHKNGjdINH1EURUmNvknyXaBSGvucE/YripKOkSPh6VPYti39MZdZ5e7Tu3Tf0p3yhcszu3k2bOJWFEUflwDXNPZVSdivLyvgDDAMiEq5UwjRGW0O5u8TrvknsCtFIl5XSlkNaAuMFUJUfo3rp23mTFi9Gr4fBCbTwMgUmgSCdblMOb2S+zx58oRhw4ZRv359njx5wrZt29iyZUuyOdQVRVHSom+T1hbAWwhxF/hJShkrhDABOgKT0Ap5KYqSjsqVoXlz2Ly5JP/7H+TLZ7hYpJR8vuNzbj25xbZPt2FpZmm4YBRFyYj0JnE1RRuXrBcp5U5gJ4AQYmUqh3wFrJRSLk14PEQI0QL4AhiTcI6IhJ+RQoidQDXgr1QDF6I/0B/Azs6OwMDAVOMqdOgQlceN43bDhoRXr4vTgyDOFxhN1InraPVElcePH6d5//Ki06dPM336dCIiImjfvj39+/fHwsIi3Xuk7mHGqPuXMer+ZVxm30N9k+QxaN9IrwKWCyHuoU0DZQwcBMZmWkSKkouNGgXu7masWwd9+hgujrWn1+Ib6su0JtOoWryq4QJRFOW1CSEKoL0HJ7IXQqTsc2wB9ARuZNI1zdAS3hkpdu0G6iQcYwkYSSkfCSGsADfg57TOKaVcAiwBcHR0lI0aNXr5oLNnYepUqO/MOzv8eMfSCmQXaor0vhvIewIDA0n1/uUxT58+Zdy4ccydOxcHBwf27dtH48aN9XquuocZo+5fxqj7l3GZfQ/16m4tpXwENEDrPjULbRqoWUAboKGU8nGmRZSCEGJswtio/yXZJoQQXkKICCFElBAiUAjh/LZiUJTM4uYG5co9YuZMiNe7fSdzXbl/hcG7BlO/VH1G1hlpmCAURcmIYcA/wN9oY4B9E9aTLqeBASQkoZmgCNoX4zdTbL8JFEtYLwocFEKcAoKB1VLKo298xbt3oW1bKG0OQ25BmJe2XSXISir+/PNPXFxcmDNnDl988QV//fWX3gmyoihKSnpXEEoope2XsGQJIUQtoB/am31So4ERgCcQBkwAfhdCOCYk9IqSLQkBnTpd5fvvndi5E9q0ydrrx8XH0ePXHkgpWf3RaoyNck/hW0XJQ35Fm2pJAMuByUB4imOeAaFSypTvnxklUzwWiduklBfRep3pTQjhAXi8ND92XBx06QLPr8I4WxASyvZ+86iVXCs2NpZJkyYxZcoUHBwc2Lt3L25uboYOS1GUHC77lNlNQQhhC6wD+qAlwYnbBdq8zdOklL8kbOsJ3AK6AouzPlpF0V/jxrdZswZmzMj6JHnWoVnsv7KfFe1WULpA6ay9uKIomUJKeQo4BSCEkICflPJtF9C8A8TxotU40Tu83LqsNynldmC7o6Njv2Q7Jk6Ev/bAzAJgIqDJPrB1etPLKLnUxYsX6datG8HBwfTu3Zs5c+ZgbW1t6LAURckFsm2SjNZFzFdKuU8IMSHJ9jJob9K7EzdIKaOEEPvRxkWpJFnJ1kxMJMOHw4gRcPQo1KjxGk++dw8OHoQbN+DWreTLnTtQqBCUKZN8ee89KFaMU7f+Yty+cXxc8WN6Vun51l6foihZR0qZJYUzpZQxQojjQFNgU5JdTYFf3vS8qbYk+/nBtCmwyAbymUCTvVAgrQk2lLxq/fr1fP755xgZGbFx40Y6depk6JAURclFsmWSLIToB5QDuqeyO/Fb7NTGRdmncT69Kmgqr6aq72Xc48ePcXQ8gKVlbUaPvsfEiaHpHm/y4AF2Bw9iFxhIgZAQjOLidPueW1oSU7AgsQUKEGtjg+ndu+Q7exbzO3eSneNhYVu69InDNr85PS06ERQU9FZeW1bIqt9BW1tbHj3KfaM34uLi3urrGjFiBOfOnWPnzp1v7RqGEB0drfu9y25/B4UQldB6XTkCKevmSyllEz3PY4X23gtazZJSQggX4J6U8l+0WiRrhBBHgD+Az4ESwKI3jf2lluSLF6F7d/jAFZp6g827UCBzZpFScodHjx4xaNAg1qxZQ926dVm3bh0ODg6GDktRlFwm2yXJQghHtDkY60spY9I5NM1xUS8dqE8FTUUvqvpexmn3sD6DBsGMGe/g4PAOZcqkOOi//8DXFzZtgn37tPF5Zcpozc9t24KDA9jZYWJunvp/4uhouHIFLl2Cixf5LuwHzucPY+daaDnNE5o2hXbttP7eRYu+/RedibLqd/DcuXM5stuep6cnq1ZpjYsmJiYULFgQZ2dnOnToQP/+/YmOjn6rr8vMzAxjY+Mcee/Sky9fPlxdtemIs9PfQSFETSAIbYzy+2g1PAoCpYBraAW+9FUdCEjy+LuEZRXgKaXcKIQoDIwHiqPNqdxKSnklgy9DExUFfTygegws9gWHlAW7lbzu2LFjdOnShUuXLuHl5cW4ceMwMcl2H2UVRckF9KpuncVqo1XRPCOEeC6EeA40BAYmrCeOu8rUcVGKktWGDgVjY/DxSbIxLg4WLICyZaF/f61VZdQoOH4cwsNh+nSoWxdKlgRz87RPni8fODpCixYEtKzIrEJhDKz6OS0X7YF+/eDUKejbF+ztteI4R9+8AK2S/bi7uxMZGcnly5fZvXs3Hh4eTJw4kfr16/PkyRNDh6dkru+BzYAz2pfFfaSUpQF3tGrUk/U9kZQyUEopUlk8kxyzQEpZWkppLqWsJqXcn5HghRAeQogljx8/hlGe8FEo9DaGkoVe+Vwl75BSsnjxYurWrUtMTAxBQUFMnDhRJciKorw1r5UkCyE+EEIMFkJMFEIUS9hWTgiRmU0GvwKVAZckyzHgp4T1C2jzPjZNElc+oD7wZybGoShvlb099O4Ny5bB1avAn39C9eowaBC4uMCRI/D339ocoVWrvtG0Jw+iH9Dz156UL1wen+YzoEkT+OEHuHwZTp6E4cNh1y748EOoXx9+/VVL1JUczdzcnGLFimFvb4+LiwtfffUVgYGBnDhxgjlz5gAQExPD119/TcmSJbG0tKRGjRr89ttvunPExcXRp08fypQpg4WFBe+//z4+Pj7EJ5m7LC4ujpEjR1KwYEEKFizI8OHDiVO/P1ntA2AtL3pSGQNIKfehJchTDRSXXqSU26WU/QvFx8D7P0PBfNA8EMwKGDo0JZt48uQJPXv25PPPP8fNzY2QkBDq1atn6LAURcnl9EqShRDmQohNQAjwA1q16cQqGz7AuMwKSEp5X0p5JukCPEEbE3UmYSqqOcA3QoiPE8ZirQQeA+szKw5FyQpjxkBReYPrTXtqLcR37sDGjbB3r1bRK4PzgQ7zH0bEowjWfLQGSzPLFzuEgCpVtBLbV6/CrFnaz48+ggoVYP58ePo0g69OyU4qVapEixYt2LZtGwC9evUiKCiI9evX89dff9GzZ088PDw4deoUAPHx8djb2/Pzzz9z7tw5pkyZwvfff8+KFSt055w5cyZLly5l8eLFHDp0iLi4ONatW2eQ15eHmQJPpJTxwD20btCJwoAcUfHK3OQO2JhAiyAoVNXQ4SjZxIULF6hVqxZr165l0qRJ7Nixg8KFCxs6LEVR8gB9+6lMQeu61R34neTdmncBA4FvMje0dPkAFsB8tLFXh4Fmao5kJUeREoet87ggxmMcFs3DQWOwmTYWrKwy5fRbzm1h1alVfNvgWz60/zDtA21s4MsvYcgQ2LwZZs6EwYO1FuwpU+Czz7R+4Xnc8OHDOXnyZJZe08XFRdfymxmcnJzYs2cP4eHhbNiwgcuXL1OqVCkABg8ezJ49e1i8eDELFizA1NSUSZMm6Z5bunRpTpw4wYYNG+jTpw8Ac+bMYfTo0bqqsnPnzk3WGq1kiXBeFK08DfQWQvglPO6F1vMq+zMG6u8Au3T+Vil5iq+vL71798bMzAx/f3+aNWtm6JAURclD9O1u/SkwXkq5Hu2b6qQuAaUzM6iUpJSNpJSDkzyWUkovKWVxKWU+KWXDhBZnRckZoqOhWzcYNgzq1MXF+Axj+T7TEuRbT24xwG8AVYtXZXyD8fo9ycQEOnWC4GAICIASJcDTE6pVg99/z5S4FMOSUiKE4MSJE0gpcXJywsrKSrfs2LGD8PBw3fGLFi2ievXq2NnZYWVlxezZs/n3338BePDgAZGRkdSuXVt3vJGRETVr1szy15XHbQcaJax/D7QEHgL/AV3RKlJnW4ljkv+LKgTlVBKkwPPnzxk5ciQdO3bE2dmZkJAQlSAripLl9G1JLgycS2OfEZBOBSFFUZIyvX8f3N3hjz9g6lQsvv6aegMES5fCN99oNbkyQkpJ/+39efjsIavbr8bM2Oz1TiAENGqkJcs//6z1CW/WDFq00KqMVc6b07FkZouuoYSGhlK6dGni4+MRQnD06FFMTU2THWNhYQHAxo0bGT58ODNmzKBOnTrY2Ngwf/58tmzZYojQlTRIKb2SrO8RQtQCPgHyA/5Syt2Gik0fL00BpeRp9+7do0uXLvz+++8MHjyYmTNnYmb2mu9hiqIomUDfluRLaFWnU/Mh2rgnRVFe5fx5qg4apFWr/vlnLSsWgrFjIT5eK16dUatPrWZr2Fa+b/I9zu84v/mJjIy0ytfnz2tjl4ODtYJi/fvDvZQdSpTs7syZM/j7+9OuXTtcXV2RUnLjxg3KlSuXbLG313ruHjx4kJo1azJ48GCqVq1KuXLlkrUy29raUrx4cYKDg3XbpJQcOXIky1+b8oKUMkRKOV5K+VV2T5AVJamzZ8/y4YcfEhQUxLJly5g3b55KkBVFMRh9k+TVaIWyugGJf7GkEKIx8CWw/G0Epyi5yr59ULs2xlFREBgIHTvqdpUurfVsXrIErl9/80tcuX+Fof5DaejQkOG1hmc0Yo25uTY/c3i4Nm/V8uVaca9160CmOjW5YmDPnj3jxo0bREREcOrUKWbNmkWjRo2oVq0aQ4cOpXz58nTr1g1PT098fX25ePEix44dY8aMGWzevBmA8uXLc+LECXbt2sXff/+Nt7c3QUFBya4zbNgwfHx88PX1JSwsjOHDhxMZGWmIl6woSg62detWatWqxePHjwkMDKR3796GDklRlDxO3yTZB9gBrOHFmOSDwB607lzz3kJsipJ7rFgBzZtDiRKcWLAAUhm3mdHW5HgZT6+tvYiX8axsvxIjkcnToBcqBLNna63g772nFfRq1gz++Sdzr6Nk2J49eyhevDilSpWiSZMmbNu2jYkTJ7J//34sLbUq5ytWrKBXr16MHj2aChUq0KZNG/bv34+DgwMAAwYMoFOnTnTt2pUaNWpw+fJlRowYkew6I0aMoFevXvTt25eaNWsSHx9Pt27dsvz15jVCiEtCiIt6LuGvPqPhJJsnWclzpJR4e3vTvn17KlSowLFjx5LVOVAURTEUvcYkSynjgC5CiPlAc+Ad4C5aghyU7pMVJa+bORNGjoSmTWHTJqJDQlI9rEwZ6NlTa03+5hutbtbrmHd4HgGXA1jWdhmlC5TOeNxpqVJFG0+9eLE2XrlSJfj2Wxg1ClTXOINbuXIlK1euTHP/s2fPADA1NcXLywsvL69UjzMzM2PZsmUsW7Ys2fYJEybo1k1MTJg9ezazZ8/OcNzKawnixbzIOZoak5x3PX36lJ49e+Lr68tnn33GkiVLdDURFEVRDE3fwl0ASCkPAAfeUiyKkvusXKklyB07at2TUxRJSmnsWFi1SmtNnjtX/8ucv3Oeb/Z+g0d5D3q59MpYzPowNoaBA6F9exg+HMaPh/XrtRbzD9UULoryNkkpPQ0dg6JkRGRkJG3btuX48eP83//9HyNGjEAIYeiwFEVRdDK5P6aiKDpbt0LfvloL8tq1r0yQQevF3KOH1pqs79DO2LhYum/pjqWpJUs8lmTtB40SJbQCZH5+8PAh1K6tZfoJrZWKoiiKktTp06epWbMm586dY+vWrYwcOVIlyIqiZDt6JclCiHghRFway3MhxF0hxO9CCDWRnaIABAVB587aHMObN79WN+Rx4yA2FqZN0+/4qQenciziGIvaLKKYVbE3DDiDWreGM2e06mNTp0L16nDihGFiUZQ8RAjR41WLoWNUlEQ7d+6kbt26xMfHc+DAATw8PAwdkqIoSqr0bUn2Bq4Ct4GVwHRgVcLja2gFveyAXUKINpkfpqLkICEh4OGhNQvv3AlWVq/19Pfeg169YNEiuHgx/WOPRxzHe7833Sp3o4NThwwEnQlsbWHZMtixQ5si6sMPYeJEiIkxbFyKkrutTGNZkWTJtlThrrxj/vz5eHh48P7773P48GFcXV0NHZKiKEqa9E2So9HmSv5/9u47LKqjC+Dwb+hIET7FghFL7L2mGAuWqLFFY+/YS+w1dmyJYjeaxK7B3mPvYNSYWIiJBmNiw941FgSBne+PoYmgq+6ygPM+z32W3b3cOVxYdufOzDk5pZQdpJRDpZTtgVzARVRnuRSwCxhqjkA1LVX491+oWRPc3WHXLsiQ4Y0OM3o02NioBF5JCYsMo83GNmR2ysy3n6WgBPO1aqlR5RYtYMwYlcn7zz8tHdUbkbrElUaK/zvIlchWBhgN/Au8mEo/BZFSbpZSdnZ+zYuJWuoRFRVF79696dGjR2wW/Zh67JqmaSmVsZ3krsA0KWVY/AellE+BaUBXKaUBmA8UM22ImpZKXL2q1h8bDKqD/N57b3woT08YNAjWrFGJpBMzfN9wgm8Hs6DeAtwd3d+4LbNwd4cff4SNG9Xi6rJlYfJkdW5SCVtbW54+fWrpMLQU4OnTp9gakVPAEqSUIYlsQVLKMcAKoJ+lY9TeXaGhoXzxxRfMnDmTfv36sX79evQFEU3TUgNjO8mZgKQ+IdgBMcNldwCdfUF794SGQp06cPcubN8O+fO/9SEHDFCd5f79IeFA1s8hPzP18FS6lelGjTw13rots/n8czh5Uo0uDxwIVavCpUuWjsoomTJl4urVq4SGhqb0kUTNTKSUhIaGcvXqVTJlymTpcN7EAaC2pYPQ3k137tyhatWqbN68mVmzZjFlyhSsra0tHZamaZpRjC0BdQzwFUL8IobC2hgAACAASURBVKWMzbkrhPAERkU/D5ADuGbaEDUthZMSunaFP/5QWZ7LlDHJYZ2cYNw4aN8eVq2CZs3U44/CH9F2Y1tyu+dm0qeTTNKWWXl4qORlixdDr15QrBjMnq2mY6fgjKaurq4AXLt2jYiICAtHYzphYWE4ODhYOoxUw9bWlsyZM8f+PaQyHwF6sa+W7M6fP0/NmjW5fPky69ato0GDBpYOSdM07bUY20nuDewFLgghDgO3UKPLHwOhQKvo/fIAy00dpKalaLNng7+/Wn9bq5ZJD92mDcycqdYm168PDg7Qf1d/Qh6EcKDdAZzsnEzantkIobKRVaqkfqhWrWDzZvjuO/jf/ywdXZJcXV1Ta+coSYGBgTphThoihBiZyMN2QBHUKPKs5I1Ie9cdO3aM2rVrExkZyd69eylXrpylQ9I0TXttRnWSpZRBQog8QH9UEpCiwHVgCjBVSnk3er/E3qw1Le06eBD69lXZrIcNM/nhra1hyhQ1S3nmTCjSYBvzguYxqNwgPvH6xOTtmV3u3Ko81sSJKvP1wYNq7XKVKpaOTNNSK99EHgsHQoDxwDfJGo32Ttu+fTuNGzfGw8ODHTt2kN8ES480TdMswdiRZKI7wjpztabFuHYNGjeGnDlVR8/K2CX+r6dKFbXceeyUOzjSnqKZijKm8hiztJUsrK1h6FCVBbxFC3UFoH9/GD8e7O0tHZ2mpSpSSvP840kmQoi6QF1PT09Lh6K9pUWLFtGpUyeKFSvGtm3byJIli6VD0jRNe2Op+s1V0yzm2TPVQX74EDZsADc3szbn5yd5XLkLd0Pvs/SLpdjbpIHOZKlSEBQE3bqp4fIPP4S//rJ0VJqmJSNdAir1k1IyceJE2rdvT9WqVdm/f7/uIGualuoZPZIshCgCdADyAwmzvkgpZVVTBqZpKVq/fvDLL7ByJRQpYvbmjj7zh4LrkXsmYtu0GGQ2e5PJI106tS65Vi2VoaxMGZg0Cb78MkUn9dK0lEYIkR3Izovvz0gp9yV/RNq7wGAwMGjQIKZMmULz5s1ZvHgxdnZ2lg5L0zTtrRk1kiyE+BCVwfozoAbgDuQGvFHJuvSnWe3dsWSJStbVvz80bWr25kIehNBjWw8+yloB55P9GTTI7E0mvzp1VKmoKlWgZ0/Vab5xw9JRaVqKJ4TIHZ1Q8yKq5NOe6G13vFtNM7mIiAjatWvHlClT6NmzJ0uXLtUdZE3T0gxjp1t/DawHCqM6xB2klDmBaoA1MM4s0WlaSnPqlCr35O0NEyaYvTmDNNB2Y1skkuWNlzB8qDVbtqhKU2lO5szqB5s9GwIDoWhR2LjR0lFpWko3H/AC+gA1gcrRW5V4t5pmUqGhoXzxxRf8+OOPjB07lhkzZmBlprwcmqZplmDsf7RiwFJARt+3htgpXOPQ2TO1d0FoqCpW7OqqplnbGL1a4Y1NOzyN/SH7mVlzJrncc9GnDxQurJbxPnpk9uaTnxDQvbtaq+zlBQ0aQKdO8FiXetW0JJQFekkpv5VS7pZS7k+4WTpALW25f/8+1atXZ+vWrXz//fcMHz4coZfHaJqWxhjbSbYFnkgpDcA9IGu8586g6jFqWtrWv79KLPXjj2rU08xO3TrF0H1D+Tz/5/iU8AHAzg7mz4erV1WC6DSrYEE4fBiGDIEFC6BECfj1V0tHpWkp0RXgmaWD0N4N169fp1KlShw9epTVq1fTtWtXS4ekaZpmFsZ2ks8B2aK//hNoL4SwEkJYAe0AvXhQS9vWr4cffoABA6BGDbM3Fx4ZTqv1rXBzcGNu3bnPXaX/6CO1bHf2bJU7LM2ys4Ovv1Z1lSMjoXx58PVFREVZOjJNS0m+BgYLIZwsHYiWtl28eJEKFSpw/vx5tm7dSqNGjSwdkqZpmtkYO190MypJ13LUG/JW4CEQBTgDvcwRnKalCJcvQ8eOULq0quWbDEYFjuKPm3+wqdkmMjlleuH5cePUct2OHeH339N4eeEKFeCPP9SVgdGjKVmggPrh8+e3dGSaZnFSSn8hRAHgohDiV+D+i7vIthYITUtD/v77b6pVq0ZoaCh79+7lww8/tHRImqZpZmXUSLKU0ldK2Tn66z3AR8B0YAHwmZRytvlC1DQLioqCli0hIgJWrFCjm2YWcCEAv0N+dCzZkbr56ya6j4uLGtg+fTpZ8odZXvr0apr76tU4XrsGJUvCrFlgMFg6Mk2zKCGEDzAEcANKARUS2VIsIURdIcTcxzrvQIoVFBREhQoViIyMJDAwUHeQNU17J7xRKkIp5e9SyuFSyn5Syl2mDkrTUozx4+HAAVXLN29eszd37+k9Wm9oTd4MeZlec/pL9/3sM2jRQoUYHGz20FKGxo05unChyi7es6ea+n75sqWj0jRLGg1sADyklNmklLkSbLktHeDLSCk3Syk7Ozs7WzoULREHDx6kcuXKpEuXjgMHDlCsWDFLh6RpmpYsjK2THCWE+CCJ50oLIfQiQS3tOXgQRo+GVq2gdWuzNyelpPPmztx6covlXyzHye7VSwynT1fJtjt2VIPe74JnGTLA1q0wZ45K7lW0KCxbBlK++ps1Le3JAHwnpXxg6UC0tGXnzp1Ur16drFmzcvDgQfImw4ViTdO0lMLYkeSX5fa3Jq40lKalDffvq2HaXLlUhqxksPD3haw7vY5xVcZR2rO0Ud/j4QHTpqm+4vffmznAlEQI6NxZrVUuUkRdyGjSBG7dsnRkmpbcDgIFLR2ElrasX7+eunXrkj9/fn7++WeyZ89u6ZA0TdOS1Us7ydEZrK1j9o3JaB1vcwI+A+6YPVJNSy5SQpcucP26Wofs6mr2Jv+5+w+9dvSiSq4qDCg34LW+t1UrqF5dVUu6dMlMAaZU77+vsl9PmACbNqki0mvWWDoqTUtOvYFOQoiWQogMibxPv9GyKu3dtWzZMpo0aUKZMmUICAggU6YXk0dqmqaldUm+eQohRgERqPqLEjgUfT/+9hAYCehPpVra8eOPqqM1diyULWv25p5FPaPFuhY42DjwY/0fsXrNz7RCqJnHUqpZ4ZGRZgo0pbK2hsGDISgIcuZUI8pNmsDt25aOTNOSw2mgKPAjcIsX36d1DWXNaAsWLKB169ZUqFCBXbt24ebmZumQNE3TLOJlJaACo28FqiO8ALiSYJ9wIBjYYvLINM0Szp2DHj2gUiUYODBZmhwVMIrj14+zvsl6srlme/U3JCJnTpVbrG1btYx67FjTxpgqFC6s5p1PmgS+vhAQoE5K48aWjkzTzGkMesmTZgKzZs2iZ8+e1KxZk/Xr1+Po6GjpkCzKYDBw584dHjx4QNS7kvTjLaRPn57Tp09bOoxUS5+/12NtbY2bmxsZM2bEyso8E6aS7CRLKfcD+wGEEBKYJ6W8ZpYoNC0liIhQ5Z6srdVosrX1q7/nLQVcCGDioYl0KtWJBgUbvNWx2rRR/cLx41Ufv1o1EwWZmtjYqHnndeuCj48aUW7cWJWL0lMGtTRISulr6Ri01M/Pz4/BgwdTv359Vq5cib29vaVDsrgrV64ghCBnzpzY2toixMvS82iPHj3CxcXF0mGkWvr8GU9KSUREBDdv3uTKlSt4eXmZpR1j6ySP1h1kLc0bNw5++03NXTbTCy6+u6F3ab2hNfky5GNajWkmOeasWVCwoOrr37hhkkOmTkWKwK+/qisGP/2kTsqSJToDtqZpWjxSSnx9fRk8eDDNmjVj9erVuoMc7cmTJ2TLlg07OzvdQda0FEQIgZ2dHdmyZePJkydma+dl060TBlQJaA54AQ4JnpZSyqqmDEzTktWhQ6qT3KYNNG1q9uYM0kCbjW24HXqbTc03GVXuyRhOTrB6tVpK3bIl7NqVLAPiKZONDQwdCvXrQ6dOamR52TJ1ESRXLktHp2kmI4QoCDQCspP4+3Pb5I9KS+mklHz11Vf4+fnRrl075s2bh/U7+4aROHNN49Q07e2Z+/VpbJ3kLkAA0BBwQ61Tjr/p/yJa6vXwoUoRnSMHfPttsjQ5+ZfJbPt3G9NqTKNU1lImPXbhwmpEed8+NZD6zitUCA4cUKW8fv1VjTJPnfoOZjjT0iIhRBvgJCp3SG2gQiJbcsdkJYQ4KoRYm9xta8aRUtKvXz/8/Pzo1q0b8+fP1x1kTdO0eIwdSe4PLAfaSyl1pkwtbenRQ9VOOnAgWco9nfzvJEP/GErjQo3pVqabWdpo106tTx49GipWBG9vszSTelhZQffuaq1y9+7Qv78q7zVvHpQoYenoNO1tjAB+AjpIKR9YOpho3YBzvMZsNS35SCnp1asXs2bNonfv3kybNk1PJ9Y0TUvA2BHgbMAi3UHW0pyVK8HfH0aMgHLlzN7cndA7jD09lpxuOZlXd57ZPpgIAd9/D3nzQosWcOuWWZpJfbJnV/WUV61SF0ZKl4Y+fdRsAk1LnbIA36WUDrIQIhPwBTDX0rFoLzIYDHTr1o1Zs2YxcOBA3UHWMBgMdOnShQwZMiCEIDAw0Gxt5cyZk8mTJ5vt+JpmSsZ2ko8Duc0ZiKYluwsXoEsX+OgjGD7c7M0ZpIG2G9vy4NkDVjdeTXqH9GZtz9lZrU++dw+aN1fJuzXUFYQmTeDvv9Xvf+ZMKFBAdZx1Yi8t9TkEFDTFgYQQFYUQm4QQV4UQUgjhk8g+3YUQF4QQYUKI40KIhNO5J6FGtw2miEkznaioKDp16sScOXMYOnQoEydO1B3kNMjHx4c6deoYvf+2bdtYtGgRmzdv5vr165QzwYCBr68vRYoUeeHxo0eP0r1797c+vqYlB2M7yb2APkKIiuYMBkAIMSR6LdNDIcRtIcRmIUSRBPsIIYSvEOKaEOKpECJQCFHY3LFpaUhEBDRrpjpMy5erJE9mFrMOufv73U2+DjkpxYqpPFX79kHnzroP+Bx3d1VH+ddfIWtW9fdQsyb8+6+lI9O019ED6CyEaC6EyBC9Hvi57TWO5QycAnoDTxM+KYRoCswAvgZKAr8A24UQXtHPV0QlCvvlLX8mzcSioqJo164dCxcuZNSoUYwbN053kDUAzp49S9asWSlXrhxZsmTBzs7ObG15eHiQLl06sx1f00zJ2DfPzcB7QIAQ4pEQ4lKCLcSEMXkD3wHlgCpAJLBHCPG/ePsMQq2T7gmUBW4Bu4UQusCYZpzhw+HIEbUmNRkyHR+8dJChe9U65M89Pzd7e/G1bQujRsHixWqNspbABx+ov4Vvv41L7DVyJISGWjoyTTPGFeB3YCnqvTAiwWb0Mikp5TYp5VAp5VoSHwnuByyWUs6TUp6WUvYErqPWIIN63/5UCHERWAl8JoRY8GY/lmYqkZGRtG7dGn9/f8aOHYuvr6/uIL8jYkaVZ8yYQbZs2XB3d6ddu3aERr+/+fj40LdvXy5duhRbExrUunU/Pz/ef/99HB0dKVq0KEuXLn3u2NeuXaNly5ZkyJCBdOnS8cknnxAQEMDixYsZPXo0f/31F0IIhBAsXrwYeHG69aVLl2jQoAEuLi64uLjwxRdfcOXKldjnY0akV65cyfvvv4+Liwv169fnzp07sfucPHmSqlWr4urqiouLC8WLFycgIMBMZ1R7lxg7fLYXSJYxKClljfj3hRCtgf+AT4DNQv1n7wNMkFKui96nLerDQQtgTnLEqaViO3eCn5+aatu4sdmbuxN6h2Zrm8WuQ/7919/N3mZCo0ZBSIjqJOfIoRJ7afFYW6sEbg0bqqReY8eqqwp+fqokmP5AqaVc84CmwEbgb16jU/w6hBB2QGkg4YLCXajOMVLKCcCE6P29gR5Syg4vOWZnoDOoESZzroVM6x4/fpzo+YuKimL8+PEEBATQuXNnypcvr89zEhKew/Tp0/Po0aPn9rEfPBirkyeTNS5D0aKET5xo9P4RERFERkby6NEjIiIiOHDgABkzZuSnn37iypUr+Pj4kCNHDvr378+4cePIkiULS5cuJTAwEGtrax49esSYMWPYuHEjkyZNIm/evBw5coQuXbpgb29PzZo1efLkCRUqVMDDw4Nly5aRNWtW/vzzT0JDQ6lVqxY9e/Zkx44dbNu2DQBXV1cePXqElJLw8PDYr+vVq4e9vT2bN29GCMGAAQOoV68egYGBCCEIDw/n4sWLLFu2jKVLl/LkyRPat2/PoEGDmDFjBgDNmjWjSJEiBAQEYG1tTXBwMFFRUS/87lK61BhzShAWFhb7uk3q/+CbMqqTLKX0MVmLr88FNeJ9P/p+LlSikl0xO0gpnwohfka9UetOspa0GzdULeTChWHaNLM3F2mIpOnaptwOvc3hDofNvg45KULA3Llw9aqadp0tG1SvbpFQUrasWdX0+27doFcvtZh79my1brlkSUtHp2mJ+RwYKKWcYeZ2MgLWwM0Ej98Eqr3JAaWUc4lO8JU/f37p/c6n4X9zgYGBJDx/kZGRtGrVioCAAPz8/Bg4cKBlgkslEp7D06dP4+KSYIKinZ26qJqc7OywSxjHS9ja2mJjY4OLiwu2tra4uroyf/58bGxsKFOmDI0bN+bgwYP4+vri4uJCxowZsbGxIU+ePAA8efKEWbNmsWvXLipUUCkHihYtysmTJ1m0aBGNGzdm5cqV3Lp1i99++42MGTMCkDt37tjz9b///Q87O7vYY8YQQmBvb4+Liwu7d+/m5MmTnDt3LnYEe9WqVeTJk4cjR45QrVo17O3tiYyMZOnSpaRPrz4/denShUWLFsW2dfnyZQYNGkTp0qUBKJFKK1Y8evToxb837ZUcHBwoGf35LLH/g28jNZRnmAGcAA5H388SfZvYG3W2xA6gr1abjqmv0iQrg4FigwaR/r//OD5hAqG//Wb2Jmefnc2+q/sYlH8QD888JPBMoEXPYe/e1pw7V5IGDRyYMeN38uR5YpE43kaynb/Jk8m6fTu55s/HtnRprteqxYWOHYlwczN/22aUql/DKUQKO4dPgOBkbC/hrDKRyGNIKQOBwFcdTAhRF6jr6elpiti0aJGRkbRs2ZLVq1czadIkBgwYYOmQ0obp0y0dwWsrVKgQNvHyrnh6evLbSz7/BAcHExYWRs2aNZ+blh8RERHbmf39998pVqxYbAf5TZw+fRpPT8/YY4LqaHt6ehIcHEy1auraW44cOWI7yDHx34pXsqNfv3507NiRJUuWULVqVRo2bEiBAgXeOC5Ni2F0J1kIURKVsbIi4AZ8IKUMEkJ8Dfwspdxh6uCEEFOB8kB5KWVUgqeNeqMGfbXalEx9lSZZTZwIx4/D3Ll8kAzzjf3/8Gft1bX0/KAnEz+Lmypl6XNYooRK6D1qVFl+/VVVRUpNkvX8Va2q1q+PGYPnt9/ieeAADB2qRpkdHZMnBhOz9N9fWpDCzuEi1FKj3WZu5w4QRdyF6hiZePGitdGklJuBzfnz5+/0FrFp8URERNCyZUvWrFnD5MmT6d+/v6VD0izI1tb2uftCCAyGpJPPxzy3efNmvLy8Ej2WNEEWUCllkmvj4z/+qvh9fX1p2bIl27dvZ+fOnYwePZoffviB9u3bv3WM2rvNqMRdQojyqJHcAsDyBN9nALqaOjAhxDSgOVBFSnk+3lM3om9N+katpXGHD8OwYar0T8eOZm/u2LVjdNrcCe+c3kypPsXs7b2ObNlg2zZ4/Bhq1YK7dy0dUQrn5gZTp8LJk1ChAnz1FeTPDz/+CC/5oKFpySQE8BZC7BZC9BdCtE+4maIRKeUzVDnITxM89Skqy7WWAkRERNCiRQvWrFnDlClTdAdZe22FChXC3t6ekJAQ8uTJ89yWI0cOAEqVKsWff/75XAKt+Ozs7IiKSji29WI7V69e5eLFi7GPnT9/nmvXrlGoUKHXijlv3rz06tWLrVu30qFDB+bPn/9a369piTE2u/UEYCdQGJXdMr4gwKT1bIQQM1BXxqtIKf9O8PQFVEf503j7OwAV0G/UWmLu3YMWLdSQ6dy5Zk/CdPPxTRqsakBm58ysbrQaW2vbV39TMitaFDZsUNWOvL3hpr689GoFCsCWLaqeVqZMKm146dKw29wDeJr2Ut8DOYCqqBrF8xNs84w9kBDCWQhRQghRAvX5wCv6fsxw0lTARwjRUQhRMPq92hP44U2DF0LUFULMffz48ZseQosW00Feu3YtU6dOpV+/hB/XNO3VXFxcGDBgAAMGDGDhwoWcPXuWEydO8MMPPzB37lwAWrRoQaZMmahfvz4HDhzgwoULbNu2LTardM6cOQkJCSEoKIg7d+4QHh7+QjvVqlWjePHitGzZkuPHj3Ps2DFatmxJqVKlqFKlilGxPn36lC+//JLAwEAuXrzIb7/9xsGDB1+7k61piTG2k1wK+F6q+RUJ51jcATxMFZAQYjbQDjWKfF8IkSV6cwZVgBGYDnwlhPgiuobyYuAxapRb0+JERakO8tWrsHIlpDdv4qxnUc9ovKYxd0PvsrHpRjycTPbSMLkqVWDrVjh/HipWhHhVF7SXqVxZlYxasQIePFAZ0GrWhBMnLB2Z9m7K9Yot92scqwyqnNTvgCMwOvrrMQBSylWo6hLDUblCygO1pJRvXAZSSrlZStnZ2dn5TQ+hoTLjtmzZMraD3LdvX0uHpKViMaXCJk+eTOHChfn0009Zt24duaJLZjo5ObF//36yZctG3bp1KVy4MF9//XXsNOmGDRtSq1YtqlatioeHBytWrHihDSEEGzduxMPDA29vbypXrkyWLFnYuHGj0SXKrK2tuX//Pm3btiV//vw0aNCAjz/+mKlTp5ruZGjvLinlKzfgHvBF9NfWqCnWpaLvNwVuGHMcI9uSSWy+8fYRgC+qPmMYsB8oYszx8+XLJ7U3FxAQYOkQXs/QoVKClHPmJEtz3bd0l/gil/+5PMl9Uto5PHBAShcXKXPlkvLCBUtH82op6vyFhUk5daqU7u7q76xRIyn/+svSUb1Uijp/qVTCcwgckyZ6D3xXN/3e/OYiIiJk5cqVJSCnTp1q6XBSrYSv6+DgYMsEkko9fPjQ0iGkavr8vZn4r1NTvzcbO5J8EOgjhIif9z5mRLkDsO91O+dJkVKKJDbfePtIKaWvlDKrlNJBSllJSnnKVDFoacSGDfD112oNcufOZm9uftB8vjv2HQPLDaR50eZmb89UypeHvXvVoGiFCmoKtmYke3vo21cNx48cCTt2QJEi0Lo1nD1r6eg0LcXT063fTlRUFG3btiUgIIBJkybpEWRN0zQTMbaTPAI15fqP6K8l0FYIEQB8hJqSpWkpx99/qzWjH3wAs2aZvbld53bRbWs3qr9fnW+qfmP29kytbFkICICwMDX1Ojg5C8qkBW5uMHo0XLgAAwfCunVqDXOnThDyxjNRNe2VhBAXhBDnX7ZZOsaXkXq69RuLioqiXbt2LF++nE6dOukyT5qmaSZkVCdZSvkHqvTTTWAYarpzj+inK0kpz5gnPE17Aw8fQv36qkTPunVqtM+Mgq4H0XB1Qwp7FGZN4zVYW1m/+ptSoOLFYf9+ldesUiU4dszSEaVCGTOqUmPnz0OPHioDdt68ajaDHlnWzGN/ItspwBX1Hh9oscg0szEYDHTs2BF/f3/GjRtHixYtLB2SpmlammLsSDJSyiApZVXABXgPcJVSVpZS/m626DTtdRkMagT57FlYvRree8+szV18cJHay2vj7uDOtpbbcLV3NWt75laoEPz8Mzg5qanXy5ZZOqJUKksWmD5d/R127apOZP780KoV/PWXpaPT0hAppY+Usl2CrR6QB1UJYo+FQ3wpPd369RkMBjp37szixYvx9fVl2LBhlg5J0zQtzTG2TrKtEMIJQEoZJqW8JqUMjX7OSQiR8mrcaO+mb76BjRthyhQ1HGpG957e47NlnxEWGcaOVjvwdPE0a3vJJU8eOHpUzVRv1UrNHn5FuUMtKdmzw8yZahp2//7qb7NIEWjYEIKCLB2dloZJKR+gSkKNtHQsL6OnW78eKSXdu3dnwYIFjBgxglGjRlk6JE3TtDTJ2JHkl9VanBO9aZplbdkCI0aokk+9epm1qbDIMOqtqMf5++f5qdlPFPJIWzX5PDxgzx748kuYPBlq1VLlprU3lCUL+Pmp9ckjRqhMaaVLw6efqmRfMmFlPU0ziTDUzC8tDZBS0qtXL+bMmcOQIUMYPVqng9E0TTMXYzvJlYGfknhuE1DVNOFo2hs6cgSaNoWSJWHePLWw1kyiDFG0Wt+KQ5cP4d/An4o5KpqtLUuytVU5z+bPh8BANbKsZwq/pQwZYMwY1VmeMEFlSPvsMyhWDBYvhvBwS0eopQFCCBshRAlUqUT9qk0DpJQMHDiQWbNm0a9fP8aPH290LVlN0zTt9RnbSc4E3EriudtAZtOEo2lv4OxZqF0bMmeGbdsgXTqzNSWlpN/Ofqw7vY4p1afQpHATs7WVUnTooDrJT57ARx+pXGjaW0qfHgYPVtOwlyxRF3XatYNcudSSAT1srxlJCGEQQkTF34Bw4DhqXXKKrgmk1yQbZ8SIEUyZMoUvv/ySyZMn6w6ypmmamRnbSb4FFE3iuaLAXdOEo2mv6eZNqFFDfb1zp+oom4mUkuH7hjPzyEz6fNiHfh/3M1tbKc3HH6ts14ULQ6NGKjfagweWjioNsLODNm3gjz9g1y4oWhSGDlUJ5zp2hBMnLB2hlvKNSWQbCrQEckopf7FgbK+k1yS/2rhx4xg/fjwdO3Zk5syZuoOsaZqWDIztJG8BRgghisV/UAhRFFUSarOpA9O0V3r8GOrUgevX1XrkvHnN1pSUkhEBI/j64Nd0LNmRKTWmmK2tlCpbNpX5euRIlay5SBHVr9NMQAi1PnnnTvjzT2jdGlasUMsHypeHlSvh2TNLR6mlQFJKXynl6ATbRCnlSinlf5aOT3s7kyZNYsSIEbRu3Zo5c+ZgZWV0URJNs4iLFy8ihOCYriOppXLG/rcdCTwAjgshfhFCrBZCHAKCgP+A4eYKUNMSFREBTZqoDMGrV8OHCSIrlgAAIABJREFUH5qtKSklIwNGMv7AeDqW7MicunOwEu/mBxU7Oxg9Gn79FVxd1SB+167w6JGlI0tDihaFOXPg6lWYNk3NlmjeHHLkUFcoQkIsHaFmYUIIq+hpykVesk9RIUTd5IxLM62ZM2cyaNAgmjZtysKFC3UHWTOKj48PQgiEENja2pIpUyYqV67M7NmziYiIMHlbderUMekxNS2lMOo/rpTyDlAW+AYQQIno2/FA2ejnNS15SAmdO8P27aozYcZ/0FJKRgWOYtyBce98Bzm+MmXU9YkBA2DuXCheHPbvt3RUaYybG/TpA2fOqL/1UqVg3Di1brlmTbU4XI8uv6taASuAJy/Z5xGwQgjRPHlC0kxp3rx59O7dmwYNGuDv74+NjY2lQ9JSkWrVqnH9+nUuXrzIrl27qFu3LqNGjaJChQo8efKyfxuapsV45ad9IYS1EKI4YCulHCml/FhKmU9KWS56mpeezqUlHylh2DCVCdjXV63bNCPfQF/G/jyWDiU76A5yAg4OMGmSmoJtZQXe3mp57ZUrlo4sjbGyUp3irVtVoq+RI1VW7EaN1NrlgQNVR1p7l7QCFkkpLyS1g5TyIrAAaJtcQWmmsXz5crp06cJnn33GypUrsbW1tXRIWipjb29PlixZyJYtGyVKlKBfv34EBgYSFBSEn58fAM+ePWPw4MG89957ODk5UbZsWXbu3Bl7jKioKDp06ECuXLlwdHQkb968+Pn5YTAYAPD19WXJkiVs3boVIQSurq4EBgbGfn9ISAiffvop6dKlo1ChQuzevTv2uYiICHr16oWnpyf29vZkz56dr776KnlOjqYZyZhLkxI4BtQG9ApEzXKkVBmBJ01SI8kjR5q1Od9AX8b8PIb2Jdozt+5c3UFOQvnyKu/U2LFqdvDaterXNHCgWRONv5ty5FAXh0aMUAvC582D6dNVMeuPPlJrmZs2VaWmtLSsFPCtEfvtQSXwSrGip4TX9fT0tHQoKcLGjRtp06YNlSpVYt26ddjZ2Vk6JC2ePn36cCKZEyqWKFGC6dOnv/VxihQpQs2aNVm3bh2jR4+mXbt2nDt3juXLl/Pee++xbds26taty9GjRylevDgGg4Fs2bKxevVqPDw8OHLkCJ07dyZDhgx06NCBAQMGcPr0ae7du4e/vz+PHz/Gy8uLa9euATBs2DAmTZrEd999x7hx42jWrBkhISE4Ozszc+ZMNmzYwMqVK8mZMydXrlzhjL7Yq6Uwr/zUL6U0AJcBJ/OHo2lJMBigVy/VQe7eHb7/3my1kA3SwKDdgxi9fzTtSrRjXr15uoP8Ck5Oquzv33+r2e++vpA/v0rwFX3RWTMla2tVX3n9erh8Gfz8VCK7L7+ErFmhQQP1nK67nFa5APeN2O9+9L4pls5uHWfXrl00bdqUMmXKsGnTJhwdHS0dkpbGFCpUiPPnz3Pu3DlWrFjB6tWrqVixIrlz56ZHjx7UqlWLOXPmAGBra8uYMWMoW7YsOXPmpEmTJnTt2pUVK1YA4OzsjKOjY+yodebMmZ+7qNO3b1/q1q1L3rx5+frrr7l3717sBYaQkBDy5ctHhQoV8PLyoly5crRr1y75T4imvYSxi1zmAH2EEFullHoRnJa8oqJUdqj586F/f9VRNlMHOSwyjLYb27L6r9V0K9ONWbVm6Q7ya8iVS+VRO3AA+vaFVq1g5kxV+rdyZbP92t5tWbKoYfsBA9SQvr+/ujqxcSO4u6tp2U2bQqVKoNc1phV3gBzAwVfs5xW9r5bCHThwgPr161OwYEG2b9+Oi0uKvrbxzjLFiK4lSSkRQhAUFISUkkKFCj33fHh4OFWqVIm9/8MPPzB//nxCQkJ4+vQpERER5MiRw6i2ihWLK4gTM1Pk1q1bgEr49emnn5IvXz6qV69OrVq1+Oyzz3RyOi1FMfYTkwvwPnBeCLEDuI6ahh1DSilHmTo4TSMyEnx81If+4cNhzBiz9bTuht6l/qr6HLx0EL9qfgwoN0DXo3xDFSrAkSOqvzZ0KFStqmYDDx2qRpr1aTUDIaBECbVNnAh79qhfwPLlalp2pkzQsCHp8+VTvyBra0tHrL25g6i1xstesZ8Pr+5IaxZ29OhRateuTY4cOdi1axfu7u6WDklLo4KDg8mdOzcGgwEhBEePHn1hzXvMDIZVq1bRp08fJk+eTLly5XB1dWX27Nls2LDBqLbiHzfms1TMeuZSpUpx8eJFduzYwb59+2jbti3Fixdn9+7duqOspRjGdpKHxvu6fSLPS0B3kjXTevYMWrRQWXzHj1c9LDM5d+8ctZbXIuRBCKsaraJJ4SZma+tdYWUFbduqQczFi1W/rV49VeFoyBBVwUv308zExkYl+6pZE0JDYds2WLUKFi+m5NOnanp2w4ZqWnaFCqATA6U204GDQohpwOCEM7yEELbAZKAKUN4C8WlGOnnyJDVq1CBjxozs2bOHTJkyWTokLY06deoUO3bsYPjw4ZQsWRIpJTdu3KBy5cqJ7n/w4EE+/PBDevToEfvYuXPnntvHzs6OqKioN4rHxcWFxo0b07hxY3x8fPjoo484e/Ys+fLle6PjaZqpGVsCyuoVm/6oq5nWkyfqQ/y6dSoblBk7yL9d+Y2PF3zMndA77GmzR3eQTczBQc2W/+cf+PFHNTmgRQsoUAB++EHXWDa7dOnUlOs1a+DWLYJHjFB1xefPV0P8mTOrqxkbNqgOtZbiSSkPA/2BXsAVIcRSIcT46G0pcAX4EugvpfzVkrFqSTt79izVq1cnXbp07N27l2zZslk6JC2NCA8P58aNG1y7do0//viDqVOn4u3tTenSpRkwYAD58uWjZcuW+Pj4sHbtWs6fP8+xY8eYPHky69evByBfvnwEBQWxfft2/v33X8aOHcv+BLUec+bMyalTpzhz5gx37941ug7z1KlTWbFiBadPn+bs2bMsX74cV1dX3nvvPZOfC017U3pOg5byXLgA5cqpkjfff69qxZrJuuB1VF5SGRd7Fw53OEx5Lz3oYi62tir58qlTKqeUmxt06waentCli6q7rJmZszO3qlRRHeI7d9RFqDp1YPNm+OILyJgR6tdXHeirVy0drfYSUsrpQGVU9YkGwJDorUH0Y5WllDMsF6FxhBB1hRBzHz9+bOlQktXVq1f59NNPiYiIYPfu3eTKlcvSIWlpyJ49e8iaNSteXl5UrVqVTZs2MWrUKH7++WecnFQe3kWLFtGuXTsGDRpEgQIFqFOnDj///HPsmuMuXbrQpEkTWrRoQdmyZbl48SL9+/d/rp1OnTpRsGBBypQpQ65cuTh06JBR8bm4uDBp0iQ++OADSpUqxYkTJ9i+fTvpdEkMLSWRUhq1AQKoh5rCtQjIEf14JcDT2ONYesuXL5/U3lxAQIB5G9i7V8oMGaR0c5Ny+3azNRMWESZ7besl8UV+OO9DefPxTbO1lZDZz2EqYTBIefiwlD4+Ujo6SglSlikj5bx5Uj56lPT36fP3dhI9f8+eqddejx5SZs+ufhkgZYkSUg4dKuWhQ1JGRiZ7rClVwnMIHJMWfF9DXfDOFL1ZWzKWN93epffmO3fuyEKFCklnZ2d59OhRkxxT/198ewnPYXBwsGUCSaUePnxo6RBSNX3+3kz816mp35uNGkkWQrgDvwAbgY5AGyCmEGcnQFcA196OlKrea/XqKlvv0aNqPaUZnL13lnILyzHzyEx6f9ib/T77yeSk14ElNyFUMq9Fi+DaNZUF++lT6NRJVTFq3Rq2bFFL0zUzs7WFKlXg228hJAROnlQ1vVxd1WLyTz5Rib+aNYMFC+DSJUtHrMUjpTRIKW9Fb2+2QFBLFo8ePaJWrVqcO3eOzZs3U6ZMGUuHpGmapiXC2OnWk4DswCdARtSocow9QFUTx6W9S54+VRms+/ZVmZ0OH4Y8eczS1IqTKyg1pxQX7l9gY9ONTK85HXsbe7O0pRnPzQ169lR9s0OHVLKvrVuhbl21ZLZ9e9ixA4xc7qS9DSGgSBEYPBj274fbt1XSrzp14OefoWNHyJED8uVTdZk3boT//rN01JqW4oWFhVG/fn2OHz/O6tWr8fb2tnRImqZpWhKMzW79OTBASnlYCJEwSdclVAda015fSIhKKnTsmCrvNGyYSotsYqERofTe3pv5v8+nXPZyrGi4Aq/0XiZvR3s7Qqjl6OXKwXffqSpGq1appbOLFkGGDFCmTAFu3lSTDnSllGTg7q5SkTdpomZ8BAfD7t1qW7JE/aKsrKBkSVWL2dtbZcx2c7N05JqWYkRGRtK8eXP27duHv78/9erVs3RImqZp2ksY20l2BpLK4uLA8yPLmvZqBgPMmQODBqme0U8/qVFkMzh8+TAdN3fk9O3TDCk/hNHeo7G11iVvUjo7O6hVS23h4bBzJ6xeDZs3Z2DnTtUv+/jjuH2KF9f1l81OCChcWG19+qi58L/+Cnv3qlHn2bNh6tS4ms2VKkH58mq6dpYslo5e0yxCSkmnTp3YuHEjM2fOpFWrVpYOSdM0TXsFYzvJZ4DqqKnVCVUCTposIi3tO3dOTdkMDIRPP4V589T0TRO79/QeQ/YMYW7QXN5zfY8drXZQ/f3qJm9HMz97e3UNpV492Lv3EOnSebN9uyr/O2yY2jJlgooVVb+sYkU1Y9gMkxK0+Ozs1MmuWFHdDwuD335Tr+39+1V2+unT1XO5c6vOcrly6rZwYf0L0t4JX331FYsXL8bX15eePXtaOhxN0zTNCMZ2kmcDs4UQ/wHLox9zE0K0A3oAnc0RnJbGGAwqMdDQoWBjozrHHTqYfPhPSon/n/4M2DWAe0/v0e+jfvh6++Ji72LSdjTLsLZWI8gff6xm6N+4odYr79un+mVr16r93N3VrN+KFVVZ4JIlIbryhWYuDg7qKkWlSup+eLiq7fXLL2qx+c6d4O+vnnNxgbJl4YMP4jZdJ1ZLY6ZOnYqfnx/du3dn5MiRlg5H0zRNM5JRnWQp5TwhxPvAaGBM9MO7AQPgJ6VcZqb4tLTi77/V6PGhQ2pu7Jw5YIai8advn6bb1m7sD9nPx+99zPe1v6d4luImb0dLObJkUXnffHzU/YsXVX6p/fvV7aZN6nErKzW6XLZs3FakiBoM1czE3j7uikb//mpN8/nz6v/Ab7/BkSMwZUpcRjZPT9VZLlUqbsua1bI/g6a9oWXLltG/f38aNWrEzJkzEXo9iKZpWqph7EgyUsqvhBA/ANVQtRjvArullOfNFZyWBly7pob7FiwAZ2eV6Kd1a5OPHl97dI0JByfww7EfcLZzZm6duXQo1QEroadzvmty5lRbmzbq/o0bqqLY0aOqT7Zhg/pzBDWhoWBBKFoUihVTW9GiakBTf541AyHg/ffVFvMLCguDEyfUL+fIEfWL+ukn1aEGdRUkpsNcvLj6Jb3/vppSoKV6Qoi6QF1PT09Lh2JSO3bswMfHh8qVK7N06VKs9d+rpmlaqmJUJ1kIkRF4LKW8CMw3a0Ra2nDvnqqvOnMmREVBly4wYoSq52NC1x9dZ8LBCcw5PocoGUW7Eu0YX2U8Hk4eJm1HS72yZFGlpOrWVfelhAsXVF/sjz/gzz/hwAFYvjzue9KnhwIFIH/+uNv8+VVlMntdMcy0HBxUweyPPop77NEj9cs5flxN1w4KUnPqDQb1vKOjmgYQ/8pGoUJqYbq+upGqSCk3A5vz58/fydKxmMpvv/1Gw4YNKVKkCBs2bMBe/9PQNE1LdZLsJEeXehoB9AFcgCghxGagg5TyQTLFp6U2T57AjBng5wcPH0KrVjB6NOTKZdJmrj+6zsRDE5lzfA4RURH4lPBhaIWh5HbPbdJ2tLRHCJVDKnduVY85xv37cOqU6jT/9RecOaNKUP34Y9w+VlaQPXvc98ffcuTQfTSTcXFRWbHLl4977OlTOH1a/YJitp9+ipsWAKpGWKFCKilYoUJqy59fTw3Qks2ZM2eoXbs2mTNnZvv27aRPn97SIWmaWS1evJgePXpw/fr1V+7z+PHjRO9bkq+vL2vXruXUqVOWDiXVKVKkCI0aNcLX19fSoZjFy0aSuwIjgUDgKJAbaAA8BNqZPTItdbl2Ta0z/uEHuHVLDduNH69GeEzor1t/8cOxH5j/+3wioiJoU7wNwysO151j7a3FJPqqUOH5xx8+hH/+UZ3mM2fUktrz52HLFrh58/l97e3VUnsvL9WZjtk8PdXSWk9P1ZG2MXqhixbL0TFu2nUMKdV8+r/+UltwsLpduRIexLuW6+QE+fLFTQnInx/y5lVTA3Q9Z81Erl27Ro0aNbCysmLXrl1k0WXPNAvw8fFhyZIlANjY2ODu7k7hwoVp1KgRnTt3xtbW8iUwmzZtSq1atczahq+vL6NHj37pPhcuXGDAgAGpNuv8mjVrmDhxImfPniUiIoK8efPSt29f2rZt+9Lv27t3LyNGjODkyZM4OzvTpk0bxo8fj43+cPKcl52NTsA8KWWXmAeEEF2AWUKILlLKZ2aPTkvZpFSZkWbPVgs9o6KgZk0YPlyVeTGRsMgw1gavZc7xORy8dBA7aztaFG3BsArDyPO/PCZrR9MS4+oKZcqoLaEnT9TU7fPn4dIltV2+rG4DAuDq1bgZwjGsrNSqg6xZ1W2mTC/eenhAxoxqYDRduuT5OVMlIdSJzJoVqlWLezym83z6dNzVjTNnVE3nVavi1juDOsl58sRt77+vZr7kyqWOq8tUaUZ49OgRderU4c6dO+zfv588efR7k2Y51apVw9/fn6ioKG7fvs2+ffsYNWoU/v7+7N27FycLl3pwdHTE0dHRrG0MGDCArl27xt739vamTp06DBgwIPYxDw8PrK2tcXZ2Nmss5pIhQwaGDx9OgQIFsLW1ZcuWLXTo0AEPD48kL0L8+eef1KpViyFDhvDjjz9y9epVunbtSlRUFJMnT07mnyCFk1ImuqFGjKsleMwNldE6b1Lfl9K3fPnySe3NBQQESPnggZTffy9lkSJSgpTu7lL27y/l2bMmbevv23/Lfjv6yf9N/J/EF5l3Zl456dAkefvJbZO2k9wCAgIsHUKqlprOX0SElJcvS3nkiJQbN6qXzYgRUnboIGWtWlKWLi1l9uxS2tmpl1Jim6Oj2qdkSSmrVZOycWMpO3eW8quvpJw4Ucq5c6Vcu1bK3bulPHpUyn/+kfLmTSnDwhKPKTWdP7MIDZXyzz+l3LBBykmTpOzSRcqqVaX08pJSiOdPvr29lPnySVmjhpRdu0r5zTdSLl8uj8+cqX6xkZFSSimBYzIFvL+l5i01vzdHRETImjVrSmtra7lt2zaLxPDOv65NIOE5DA4Otkwgb6lt27aydu3aLzx+8uRJaWtrK0eOHBn72L1792SbNm2km5ubdHBwkFWrVpWnTp2KfX7RokXSycnpueMEBARIQN6+ffu5fVatWiXz5s0r7e3tpbe3tzx37lySx0l4f9SoUbJw4cJyxYoVMnfu3NLZ2Vl+/vnnsW1IqV5nffr0kW5ubtLNzU326dNHdu3aVVaqVMmo81K4cGE5atSoFx6PaTtGzPmbMGGCzJw5s3R1dZWDBw+WUVFRctSoUdLDw0NmzpxZTpgw4bnjPHjwQHbq1El6eHhIZ2dnWbFiRXn06FGjYpNSyocPHxq978uULFlSfvXVV0k+P2TIEFmiRInnHtu0aZN0cHB4aQw3b96U9erVkw4ODtLLy0suWLDghXM6ZcoUWbRoUZkuXTrp6ekpO3ToIO/fvy+llPLx48fSxcVFrlmz5rnj7tq1S9rY2MgbN25IKaUcPXq09PLyknZ2djJz5syydevWL/15479OE76G3/a9+WUjyc7RHeX4HkXf6oKz75p792DTJorOmaOS6UREqMKzCxZAs2YmGe6SUnLq1inWn17P+r/X8+fNP7GxsqFBgQZ0LdMV75zeOlu1lqrY2Kjp16+qdialmtZ986ba7tyBu3fVbcwWc//yZbV++v79uMpJSXFwUCPhLi5xtxERRciZU33t4qKSzifcnJzUS9rJ6fmv06UDW9tUvrzX0VEtA0lsKUhYGISEqOkBCbejR9X/QaAUQK9ecb9g7Z0lpaRbt27s2LGDOXPm8Nlnn1k6JM3c9ni/+JhXE8jXHSJDITCREbzcPmoLuwMHG734fN5ukKMpPLkMh1s//1y1wLePGbV+tGbNmqxbty52GrKPjw9nzpzhp59+wt3dnWHDhlGzZk3++eef1xrpDQ8PZ8KECSxatIh06dLRu3dvGjRowIkTJ4wufXbx4kVWrVrFhg0bePLkCc2aNWPYsGHMmTMHgMmTJ7N48WLmz59PkSJF+O6771i+fDklS5Z8/ZPxCj///DPvvfcegYGB/P7777Rs2ZITJ05QsmRJDh48yL59++jWrRvVqlWjdOnSSCmpXbs26dOnZ8uWLfzvf/9jyZIlVKlShTNnzpA1iVKGXbt2ZenSpS+NJTg4GC8vr1fGLKVk3759nDlzhvHjxye5X3h4OA4ODs895ujoSFhYGMePH8fb2zvR7/Px8SEkJIQ9e/aQLl06+vbty8WLF5/bx8rKiunTp5M7d25CQkLo2bMnPXv2xN/fHycnJ5o3b87ChQtp1CjuNbBw4ULq1KlD5syZWbduHZMnT2bFihUULVqUW7du8euvv77yZzeXV00+zyaEiL/Y0zre488l75K6FFTac+uWKjK7di3s3QuRkThlzqw+HDZpogrNvuWnZYM0cPTq0diO8dl7ZxEIynuVZ2r1qTQv2pwsznpdl5a2CaEyaqdPr5bOGkNKNd07psP8339qGe5//z3/9cOHKll0zO2dO/bcuqW+fvJEba/D2lr1M9Ole/7W0VF1yhPexmz29i/e2turOtUxX8d/LP4W85itbdxjZumsOzjErVlOzOPHcOkSf27ZQrH06dW8+pAQVZxbeyd98803zJ8/n6FDh9K5c2dLh6NpL1WoUCH27NkDwL///sumTZvYv38/FStWBMDf3x8vLy+WLVtGx44djT5uZGQkEydO5JNPPok9Tu7cudm7dy/V4i+FecUxFi9eHJvsrnPnzixatCj2+RkzZjB48GAaNmwIwPTp09m5c6fRMb6O9OnTM3v2bKytrSlQoABTpkzh2rVr7NixA4B8+fIxYcIEAgICKF26NAEBAZw4cYLbt2/HXlwYO3Ysmzdvxt/fn0GDBiXazpgxY2Knfz9+/DjRad+vKo/333//kS1bNsLDw7G2tmb27NkvvVhXo0YNpk2bhr+/P82bN+fmzZuMGTMGIMnka//88w/bt2/n4MGDsb/jJUuWkDv38/mA+vTpE/t1zpw58fPz4/PPP2fJkiVYWVnRqVMnPvroI65evUq2bNm4f/8+GzduZM2aNQCEhISQNWtWqlevjq2tLV5eXpRJbK1bMnlVJ3ltEo9vTOQxXQQwtbt3D/bvV4spAwJUql9Qa/T694dGjfj10SO8K1d+4yYM0sCpW6cIvBhI4MVA9ofs597Te9hY2VAlVxUGfDyA+gXqk9nZtKWiNC2tESJu5Dd7duO/LzDw+SvFBgOEhqr+3+PHqvMcGhrXgX7yJO5+aKhKMp3YbViY+vr+fXUbs4WHqy0s7PmlwKZgYxPXYY7ZbGyevx//sfjP2di8uNnaqosANjZxt/G/trZ2xtq6EJcvO5AnT26s3cAmI7BsmWl/MC1VWLp0KcOGDaNFixaMGzfO0uFoyeVlI7s26V7+vEPGlz/vlN1kI8eJkVLGjuyePn0aKysrPv7449jn06dPT9GiRQkODn6t41pZWVG6dOnY+zly5MDT05Pg4GCjO8k5cuR4Lhu8p6cnt27dAlRH8MaNG3zwwQexzwshKFu2LJcvX36tWI1RqFCh52qbZ86cGbcESR4zZ84cG9/x48cJDQ3Fw+P58qNhYWGcO3cuyXYyZcpEpkyZAJXXwMXl9Sfquri4cOLECR4/fszevXvp168fOXPmpGrVqonuX716dSZPnkyPHj1o164d9vb2jBgxggMHDiRZzz3mbyX++Y/5Hce3b98+vvnmG06fPs1///1HVFQUz54948aNG3h6elKmTBmKFi3KkiVLGDp0KMuXL8fd3T22U9+4cWNmzJhBrly5qFGjBjVr1qRevXoWK6P3sk6yzmCdlhkM8O+/qv7o0aMQGAgnTqhPsY6OqvRKixYqEVeJEnFDNoGBr9XMw/CHnLhxguPXjnPw8kH2X9zP3ad3AcjllovP839OlVxVqJ23Nu6O7qb9GTVNeyUrq7jOtjlJqaaHx3SYYzrP4eHw7Nnz9yMi4h579izu64iIuOdibmO+TmqLjHz+66dP1ah6VJS6H/N8zG1U1PPPJfxa0dn033UBAQG0b98eb29vFi5caPSUUk2zpODg4NjRP/mSq5Yxf89WVlYv7BfxqnU+byhh1m0hBIYEmS+T63WWWCwvi89gMJA5c2YOHDjwwrFcXV2TbMcU062trKxiEwWWKFGC06dP8/XXXyfZSQbo168fffv25fr167i7u3Px4kWGDBlCriTKtb7sbyVGSEgItWvXplOnTowZM4YMGTIQFBRE8+bNefYsLtdzx44dmT59OkOHDmXhwoX4+PjEds6zZ8/OmTNn2Lt3L3v27KF///6MHj2a3377zSLJ5pLsJEsplyRnIJoZPXqkOsSnTqlOcVAQ/P67GjYCNZfx44/B1xeqVIEPPlDDM69BSsnVR1f5+87f/H79d4JuBHH82nH+vfdv7D5e6b2ok68OlXNWxjunNznccpjwh9Q0LSUTIm6q9BtcLE8xDAbYt28/n3xSKbZDratIvVv++usvGjRoQN68eVm/fr3FRjk07XWcOnWKHTt2MHz4cECNlhoMBg4fPhw73frhw4ecPHmSdu3UOJmHhwehoaE8fPgwtrN34sSJF45tMBgICgqKHTW+dOkS165do2DBgiaJPX369GTJkoUjR45QOXo2o5SSo0ePpohSa6VKleI21SETAAAXC0lEQVTmzZtYWVm9MAX5ZUwx3Tohg8FAeHj4K/cTQsQee8WKFWTPnp1S8UssxlOwYEEMBgNHjx6lXHT1mpjfcYxjx47x7Nkzpk2bFtvp3bJlywvHatWqFQMHDmTWrFkEBQWxcuXK5553cHCgdu3a1K5dm6+++oosWbJw6NAhqlevbtwJMCFdECstkFLNcYypP3P2bFzJk3/+UTWMY6RLp0aGfXziao4WKqTmGb5ClCGK2+G3+eXyL1y4f4Ezd8/wz91/Ym9DI0Jj982RPgelspaiTfE2lMpaipJZSpLVJfHEBZqmaamFlRXY2EjMXL0k1RJC/AI4oZZgrZZSjrFwSCZ1+/Zt6tSpg6OjI9u2bcPdXc+A0lKe8PBwbty4gcFg4Pbt2+zdu5evv/6a0qVLx3bK8ubNy+eff06XLl2YO3cubm5uDBs2DFdXV1q0aAHAhx9+iJOTE0OGDKFv37788ccffPfddy+0Z2Njw+DBg5k1axaOjo707duXwoULGz3V2hi9e/fGz8+PfPnyUahQIebMmcP169eTTIqVnKpVq8Ynn3zC559/jp+fHwUKFODGjRvs2LGDatWqUaFChUS/722nW48fP54PP/yQ3LlzEx4ezrZt2/D39+fbb7+N3WfWrFnM+n97dx8dVX3ncfz9nSQEbAiICIIIfZIo62rVenRBQT3VsuvqVsBF65FKMaVaa63KWrdY7XG1PiDKqWt76CkgPmyRlq1aRVuL4GpX1+cHfKhalAomQOUQQggkM9/9496EyTCZmWRmmJnM58W55z78fjP85nsy+eZ37+/+7l138c4773Qeu+2225g8eTKRSIQVK1Zw88038+CDD3Y73Lquro7Jkyd3/qwMGDCAK664osvkboceeiixWIw777yTKVOm8Nxzz3HnnXfu9V6DBg3inHPO4corr2TixIkceuihnWVLliyhvb2d448/npqaGpYtW0ZVVVWXOvtSSXeSzewSYA4wAlgLXO7ue491KFXt7cF9wps2BUtj4551Y2PQIe54KGtLS9fXDhkSTD5z+unBTEB1dXDYYcE64UvQHmtnS3MDjc2NNO5opLG5kU07NtG4o5EN2zewftt61m9bz4amDUQ9CuFEcxGL8NnBn6XugDpOHnMydUPrGHvAWI4afhQH7HfAPgqSyN46pu+PxWJEo1FisVjnkrjf06XjfZPtJ9tOXCceS9xOt5+ubndlHXF57733eOWVV9I++iA+jj05lmo/2XZvypOtU5Vl8prE7VTv3dDQwKJFi1L9CJazye7eZGYVwDNm9rC7733pqQTt3r2bqVOn0tDQwJo1axgzRqOhpDg9+eSTjBgxgoqKCgYPHswRRxzBddddx+zZs+kXN1Jw8eLFXH755Zx11lm0trYyYcIEHn/88c7Oz5AhQ7j//vuZM2cOixYtYuLEidxwww1ccEHXGbirq6uZM2cOM2bMYP369ZxwwgmsWLEip8Ojr7rqKhoaGpg5cyZmxsyZMzn77LNpbGzM2f/RW2bGY489xty5c6mvr2fTpk0MHz6cCRMmMGPGjLz9v83NzVx88cV8/PHHDBgwgMMOO4ylS5dy3nnnddbZsmUL7777bpfXrVy5khtvvJFdu3Zx1FFH8dBDD6WdmX/JkiXU19dz6qmnMnToUK677rrOe7IBjjzySBYsWMAtt9zC3LlzGT9+PPPmzWP69Ol7vdesWbNYunQps2bN6nJ88ODB3HLLLVx11VW0tbUxbtw4VqxY0e0w8HyzTMaZFyMzmw7cB1wCPBOuZwLj3H19d6+rq6vzxB+WnGlvD262a23tOqNN/LJ9e/Jl27agQ9wxVe3WrcGNc8lUVODDDqR1zChaxoxgx8HDaBl5IC3Dh9AydBDNwwbTVA3bd21n++7tbN+1naZdTTTtauLT1k/ZunMrW1u38unOYHvbrm1J/5vqimpGDhzJ6EGjO5eWhhZOO+40xgwewxf2/wLVlRpm1lOrV6/udor9RLFYjPb29s4lGo2m3M/kWMd2smPJylOtE7fTlaVbOjqxyfY7tnft2kUkEtmr05vY+ZV9y8w6l1T7ybZ7U55snaosk9ckbndX1vEIjY79devWveTuhZuCswiZ2QCC3Dwrk05yXnNzDrg7s2bNYvHixTzwwANd/ggtBj3JK5JcYgzffvvtnA0XLge9nXgqG8cccwwTJkzocuW0VBUifoWybNkyZs+ezcaNG9kvy0fIxn9PE7/DZpZVbi7lK8lXAEvc/Rfh/nfNbDJwMXBNdy/a+slHXPMvx4LH8JjjHoNYDPcYMY9BLEosGgvKPYbHongshod/gHssSszjjnmUWDRKLBYlBrhB1CDWsY5AjGAdNYhG9pS1RyBWFSFaWUl7VYT2/hW0j47Q/vkI7RUVtFfsT5tBWwW0EQuXdnZH22iPNQANwYfaEC4pVFVUMaByAAP7DeQzVZ+hprqG0f1Gc3jV4dRU1TCo/yAGVw+mtrq2c7t/5Z4/AmkH3+KsfXct2yu384a/wRu8AfT8Sk5Pr1SlW1JdtUt2FS/dEt/ZStVZy2RJ1mFsbm6mqqpqr+PJOqnFdBIrEolQUVFBRUUFlZWVPdpOtlRXVyc9Hv//JO5HIhEaGho45JBDOvc7yuPXqbY79s1sr+MdS3dlZpZ0P/544naq1yRuJzuWWJ7utanKAJ599llOOumkbl+XqrPbXQe43CRJxIVrTA6Z2UTgKuBYYCQw092XJNRJO4LLzJ4HxgF395WryPPnz2fx4sVce+21RddBFikHH330EU888QSTJk2ivb2dhQsX8tprr7Fw4cJCN00y1NLSwocffshNN91EfX191h3kfCvJTrKZ9SNI4vMSin4PjE9S/1tA5wMMb3745by2r2diwO60tbLVFv5ropur02Wiu45GYuel476MVB2ldB2vjo5dVVVVl/ruTr9+/ZJ2ALvrKKY73l1Z/P9bWVmZsgOaWD/xeLF0BLqb3KIYxZ/IKRZmlnTiFclcc3Mzq3s403+JqAHeBJaGSxfhCK4FdB3BtdLMuozgcvfjzawWWG5mR7j7m/uk9Xny6KOPMmfOHKZOncr1119f6OaIlKVIJMLSpUuZM2cOsViMcePGsXLlyoI+R1d65tZbb+XGG2/kxBNP5Nprry10c9IqyeHWZjaS4NrpJHd/Ou74j4Dz3b2uu9eOOGSEz//lfIyEqyIYEYt0Hu9c257jEYsE23H1uyyRCBEiVFjYsbBIrj5vzup3V5bp0MMXXnih8zlp6V6Tat2TK1Wplu6uzKW6YldoGhaXHcUvO4pf9nI9pKsYmVkzcGn8leTwCvHr7l4fd+w94NfuvtcILjO7Goi6e+IJ7Y7yzhPYBx544LEPPvhgbj9EDqxbt45LL72Ugw8+mAULFnSZqKaYlNLJw2KVGMNBgwZ1PlpH0otGo91O/CTpKX698/7777NtW3DbaOJ3+JRTTinb4dYAiT18S3Ksi9r9ajnvdA2V6q3Nmzczbty4QjdDRET2oUxGcJnZYKDS3beYWX/gdOCO7t7T3RcCCyG4J7nYTt5s3ryZb37zm9TW1rJq1SpGjRpV6CZ1Sye/spfsnuRyuUc0F8rpntp8UPx6p3///hx99NFA7n8PlmoneQsQBRIfjjYMKPw0dyIiIn3LUILHOiXm2Eag4zkvQwiGWFcBEYJHQO39oMwS0NbWxrRp0/jkk09Ys2ZNUXeQJX/cvShGoInI3vI9GrokO8nuvtvMXgJOA5bHFZ0G/KYwrRIREenzuh3B5e5/IbjanDEzOxM4c+TIkblpXY5cffXVPP3009x3332dtxhJeamqqmLnzp1FP7mQSLnauXMnVVVVeXv/3Nw0WxjzgQvN7CIzO9zMFhDMxvnzArdLRESkr8nLCC53f8Tdv1VM99MuW7aMO+64g8suu4zzzz+/0M2RAhk2bBgbNmygpaWlqJ40IVLu3J2WlhY2bNjAsGHD8vb/lOSVZAB3X2ZmBwBzCR5F8SbwT+7+UWFbJiIi0rfkawRXsV1JXrt2LbNmzWL8+PHcdttthW6OFFBtbS0AGzdupK2trcCtKX6tra3079+/0M0oWYpfz1RVVTF8+PDO72k+lGwnGcDd7wbuLnQ7RERESp2Z1QAd0/lGgNFm9iXg0/ART/OBe83s/4BngW+T5Qgud38EeKSurq4+beU8a2pqYsqUKdTU1LB8+XL69etX6CZJgdXW1ub1j/C+ZPXq1Z0TKEnPKX7Fp6Q7ySIiIpIzXwaeitv/cbjcA1zYl0dwuTszZ87kgw8+4I9//CPFcmVbREQKQ51kERERwd1XE0zElapOTkdwFctw63nz5rFixQpuv/12Jk2aVNC2iIhI4ZXyxF0iIiJSwoph4q5Vq1bxgx/8gGnTpvH973+/YO0QEZHioU6yiIiIlKWNGzdy7rnnMnbsWBYtWqRn4oqICKDh1iIiIlKGYrEY3/jGN9ixYwdr1qxh4MCBhW6SiIgUCSu3Z7+Z2Xbg3UK3o4QNJXhepvSeYpgdxS87il/2EmM4xt0PLFRjSlnHPcnABcDaAjenlOl7nT3FMDuKX3YUv+zlNDeXYyf5RXf/cqHbUaoUv+wphtlR/LKj+GVPMcw9xTQ7il/2FMPsKH7ZUfyyl+sY6p5kERERERERkZA6ySIiIiIiIiKhcuwkLyx0A0qc4pc9xTA7il92FL/sKYa5p5hmR/HLnmKYHcUvO4pf9nIaw7K7J1lERERERESkO+V4JVlEREREREQkKXWSRURERERERELqJIuIiIiIiIiEyqaTbGaXmNk6M2s1s5fM7KRCt6kYmdk1ZvaCmTWZ2WYze8TMjkioY2Z2vZltNLOdZrbazP6uUG0uZmb272bmZnZX3DHFLw0zG2Fm94Q/g61m9paZTYorVwxTMLMKM7sh7nfeOjP7DzOrjKujGIbMbKKZPWxmG8Lv64UJ5WljZWbVZvZTM9tiZjvC9xu1Tz9ICVJuzoxyc24pN/eOcnN2lJt7ptC5uSw6yWY2HVgA3AQcDfwJWGlmowvasOJ0MnA3MB44FWgHnjSzIXF1/g24EvgucBywCfiDmQ3ct00tbmZ2AlAPvJ5QpPilYGaDgWcBA84ADieI1aa4aophalcD3wEuAw4DvhfuXxNXRzHcowZ4kyBOO5OUZxKrO4GpwHnASUAt8Dszq8hju0uacnOPnIxyc04oN/eOcnNOKDf3TGFzs7v3+QV4HvhFwrH3gJ8Uum3FvoQ/oFHgzHDfgE+AH8bVGQBsB2YXur3FsgCDgA8I/phZDdyl+GUcu5uAZ1OUK4bpY/g74J6EY/cAv1MM08auGbgwbj9trMLv+27g/Lg6hwAx4KuF/kzFuig3ZxU75ebexU25ufexU27OPobKzb2P3T7PzX3+SrKZ9QOOBX6fUPR7gjOyktpAghEHW8P9zwEHERdPd98JPI3iGW8h8Gt3X5VwXPFL72vA82a2zMw2mdmrZnapmVlYrhim9wxwipkdBmBm4wj+KHwsLFcMM5dJrI4FqhLq/BV4G8UzKeXmrCk3945yc+8pN2dPuTl38p6bK9NV6AOGAhVAY8LxRuAr+745JWcB8Crwv+H+QeE6WTwP3leNKmZmVg98EbggSbHil97ngUuAO4CbgS8BPw3L7kIxzMQtBH9Ev2VmUYLf9Te6+91huWKYuUxidRDBVb0tSeochCSj3Jwd5eYeUm7OmnJz9pSbcyfvubkcOskdPGHfkhyTOGY2HzgRONHdownFimcSZlZHMCTpJHffnaKq4te9CPCiu3fco/OKmR1KcN/OXXH1FMPuTQdmAF8H1hL8MbPAzNa5+y/j6imGmetNrBTP9PQz2EPKzT2n3JwTys3ZU27Ovbzl5j4/3Jrg7EGUvc8YDGPvsw8SMrM7CG5yP9Xd/xJX1BCuFc/k/oHgCsmbZtZuZu3AJOCScPtvYT3Fr3ufAG8lHHsb6JjMRz+D6d0GzHP3X7n7G+5+LzCfPZODKIaZyyRWDQRXRYemqCNdKTf3gnJzryk3Z0+5OXvKzbmT99zc5zvJ4RnDl4DTEopOI5hJUxKY2QKCs1ynuvs7CcXrCH7oTour359gxjjFE34L/D3B2cGO5UXgV+H2n1H80nkWqEs4Nhb4KNzWz2B6+xF0QOJF2fM7XzHMXCaxegloS6gzimD2V8UzCeXmnlNuzopyc/aUm7On3Jw7+c/NhZ6tbB/NiDadYHazi8LALCCYJW1ModtWbAvwn0ATwUQCB8UtNXF1rg7rTAGOIEgyG4GBhW5/MS7EzaCp+GUUr+PCX2o/JLh/7BxgG/AdxTDjGC4BPiZ4TMdngbOBzcDtimHSeNWw5w/nFuBH4fboTGMF/AzYQHA/7dHAUwT3jFYU+vMV66Lc3KNYKTfnPqbKzT2Ll3Jz9jFUbu5ZvAqamwsegH0Y6EuAD4FdBGcWJha6TcW4EIzRT7ZcH1fHgOsJht60AmuAIwrd9mJdkiRixS99zM4AXgvj82eCZwqaYphx/AYSPBvwI4JnC/6F4H68/oph0nid3M3vvSWZxgroTzCJzd/CZP4IcEihP1uxL8rNGcdJuTn3MVVu7nnMlJuzi59yc8/iVdDcbOEbiIiIiIiIiJS9Pn9PsoiIiIiIiEim1EkWERERERERCamTLCIiIiIiIhJSJ1lEREREREQkpE6yiIiIiIiISEidZBEREREREZGQOskifYiZXWhmHrfsMLMPzey/zexfzUzfeRERkX1IuVmk9FQWugEikhfnAB8D1cBo4Azgv4BvmdmZ7r6zkI0TEREpQ8rNIiVCnWSRvulVd38/bv9eM1sOLAduBb5bmGaJiIiULeVmkRKh4R0iZcLdfwM8BNSb2X4AZvZjM3vZzLaZ2RYzW2VmJ3S8xswOMrPdZva9xPczs+vNrMXM9g/3v2pmfwrfq9nM3jWzH+2rzyciIlJqlJtFipM6ySLl5TGCYV5fDvcPBu4AvgZcCGwCnjazIwHcvQH4LTA7/k3MrAKYBTzo7lvN7PPAw8A6YDpwFjAf+EyeP4+IiEipU24WKTIabi1SXtaH6xEA7n5RR0GYXB8H1hIk2Y4z1HcDT5nZSe7+P+GxM4BRwM/D/WOAfsDF7t4UHluVrw8hIiLShyg3ixQZXUkWKS8Wrh3AzL5iZk+Z2d+AdqANGAvUdbzA3VcDb9H1jPVs4HV3fy7cfzV87a/MbJqZDcvrpxAREek7lJtFiow6ySLl5ZBw/YmZHUMwxKuZ4Oz0CcBxwGtA/4TX/QyYZmYHmNkYYDJ7zlQTTkTyVYLfKfcCDWb2vJlNyueHERER6QOUm0WKjDrJIuXlDKAVeAmYSnCGeoq7/9bdn3f3F4H9k7xuKcHZ6AuBemAncH98BXd/yt0nA4OBr4T1HzWzoXn6LCIiIn2BcrNIkdE9ySJlwsymEEzascDdW8JZNKOEw7vCOqcSPLtxXfxr3b3JzO4nGMpVAzwQd38TCXV3AavMrIZgxs7PAVvy8JFERERKmnKzSHFSJ1mkb/pSeJa4H0Fi/WfgHOAPwDVhnceBy4ElZraY4H6na4EN3bzn3ey59+nn8QVm9m1gIsEQsb8CQ8P/ZyPwZm4+koiISElTbhYpEeoki/RNy8N1K8GjI14GzgV+7e4O4O5PmNllwBUEw7veBGYAc5O9obu/bmZ/Bprc/eWE4teAfwR+AgwDPgWeAc539525/GAiIiIlSrlZpERY+J0UEUnJzMYC7wD17v7LQrdHRESk3Ck3i+SHOskikpKZjQK+CPw4XH9RZ6BFREQKR7lZJL80u7WIpHMRsAoYDnxdSVhERKTglJtF8khXkkVERERERERCupIsIiIiIiIiElInWURERERERCSkTrKIiIiIiIhISJ1kERERERERkZA6ySIiIiIiIiKh/wfKWIlXatnMPwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "country = select_country('Italy')\n",
    "f = plottage(country,RK3(country))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Results for Italy: \n",
    "\n",
    "The doubling rate means $R_0$ there is 3.9. The infection continues growing exponentially for one more month before peaking at 40% infected, then subsiding. 3% of the population escape the contagion. 500,000 deaths. \n",
    "\n",
    "Now moving on to S. Korea."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters for: S. Korea\n",
      "Basic reproduction number R0 = 1.4\n",
      "Doubling time = 29  days\n",
      "Infection rate beta = 0.08\n",
      "End of simulation at t = 540 days \n",
      "\n",
      "Percentage of people who avoided infection, S= 49 %\n",
      "Percentage of infected, I= 0 %\n",
      "Percentage of removed, R= 50 %\n",
      "\n",
      "Percentage infected at peak of epidemics:  5 % \n",
      "\n",
      "Total number of deaths = 252255\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "country = select_country('S. Korea')\n",
    "f = plottage(country,RK3(country))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Results for S. Korea \n",
    "\n",
    "S. Korea infection control pushed the doubling rate to 29 days, that is, it brought $R_0$ to 1.3. That's much better. But unless controlled and a vaccine developed, that's still 200,000 deaths one year from now.\n",
    "\n",
    "Next, results for Sweden. \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters for: Sweden\n",
      "Basic reproduction number R0 = 5.0\n",
      "Doubling time = 2.9  days\n",
      "Infection rate beta = 0.30\n",
      "End of simulation at t = 100 days \n",
      "\n",
      "Percentage of people who avoided infection, S= 1 %\n",
      "Percentage of infected, I= 3 %\n",
      "Percentage of removed, R= 96 %\n",
      "\n",
      "Percentage infected at peak of epidemics:  47 % \n",
      "\n",
      "Total number of deaths = 96042\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "country = select_country('Sweden')\n",
    "f = plottage(country,RK3(country))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Results for Sweden\n",
    "\n",
    "At the current rate, Sweden is looking at 100,000 dead, with the epidemics peaking in early May, with 47% of the population infected at the same time. Not even a Scandinavian health system can cope with this massive number of sick. \n",
    "\n",
    "Next let's look at a country with a much less humane health care system, the United States. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters for: USA\n",
      "Basic reproduction number R0 = 5.8\n",
      "Doubling time = 2.4  days\n",
      "Infection rate beta = 0.35\n",
      "End of simulation at t = 101 days \n",
      "\n",
      "Percentage of people who avoided infection, S= 0 %\n",
      "Percentage of infected, I= 3 %\n",
      "Percentage of removed, R= 96 %\n",
      "\n",
      "Percentage infected at peak of epidemics:  52 % \n",
      "\n",
      "Total number of deaths = 3082575\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "country = select_country('USA')\n",
    "f = plottage(country,RK3(country))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Results for the USA\n",
    "\n",
    "The results look just like Sweden, since they have a similar doubling time (2.4 vs 2.9) and similar percentage of initially infected people. \n",
    "\n",
    "The USA is behind Italy and S. Korea in the quarantine, the doubling rate of 2.4 days here translates into $R_0=5.8$. At the current rate we have 40 days of exponential growth, peaking at 50% of the population infected by early May, like Sweden. Unlike Sweden, the population is much higher. That number of infected people means the death toll in the USA is 3 million.\n",
    "\n",
    "In the US the infection is just starting (less than 0.0005% of the population currently infected). Now look what happens if we take the same measures S. Korea took, i.e., bringing $R_0$ to 1.3 through social distancing and mass testing. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters for: USA with Korea R0\n",
      "Basic reproduction number R0 = 1.4\n",
      "Doubling time = 29  days\n",
      "Infection rate beta = 0.08\n",
      "End of simulation at t = 540 days \n",
      "\n",
      "Percentage of people who avoided infection, S= 53 %\n",
      "Percentage of infected, I= 2 %\n",
      "Percentage of removed, R= 45 %\n",
      "\n",
      "Percentage infected at peak of epidemics:  4 % \n",
      "\n",
      "Total number of deaths = 1435855\n"
     ]
    },
    {
     "data": {
      "image/png": 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c9He3YjeUD8cqRgZin/Gwwr5nwXHSsT7KELRiE5HuwBpVza+V39lzVZwewWN+s+di8+cynMf/YPn/CcBasXFAwAavy28SHsvnK2mb8jxHuy5NglG3PCVnwpqubMGafe6DFQ6uwmpOBwXbNMAKgmdhTW7aYsPPL6dgFObjg/c0KOQY12KZZpGjLWPNZ3KAq4PX1bELgxygb8R249h+tMWx2F2xNtjFQAqFT3+03fuKiCF6302wZtA/Ag2DZQ9gTagHYYXVsRQ++mT08W/Dmtmcj2UG3bEfsKHB+hSsydmLwfpDsabe2RQzmm9Rnwu7Ozkm4vVpWKZ5YRD36CDu1qX8vuyN1XJvBTqX03eyxFixC8ifSvmeXsH5vDE4x6dgmfiwGGI6GatdrhG1/C5gXsTrUyL/9lgf8VvifH7SKbgLvRm4OXgeOa1T9Pm5C+uy0AboinUxyMOacIX+O+TJU2VJwe/QB1irlPVY3ndCxPpqWJeKb7FC2mZs5Pr7gPrBNuOBD4vY/x7Bb/QRxcRwV7BNz4hlGViLpbSIZdvlL9jNwq+CmJSC2RV2Or8NljXC8tsZWEErcnaFrRQ9u0L08QUbjCn/xvMqrPn4gIht/oLl738Ej0dSwuj5RX0urPCYf4M7f9kl2HXPVuwa5ZCo95ybfw4L2d+dBKN4RyxLwVovKdBrJ7+D47CbvluxCoZJwJHFbH8olnf2i1jWNHjv9cW8rx87zsihwLio7Yo9V8Xsv8hzGHEef4l4Hdf8uYjPpsCI0n6+GL4vZTpHlTmFHoCn5E54ZlzkNnhmHL3fNOyGRKnnUS7ld7KkWEcQtAaL9T3BNkcHf88/gJ+xfstS0jnAMtGfC9lf/2D7zsHrPsBbEetvJ2JKijidm36UcEERfX4o5cWOJ0+ePHkqv4S10JpFMM2jp/I/h4nInz0lT5Lgj+ycc0USkZFYDec+atNtFLZNOtZP/EBVLe0gZEkvlnNQwvurAD9h/ecysUL44aq6LK6BOuecq7BE5FvgGg26ObnSK+059Py5cvE+v865WAwCLi2h0LcPVsu4q44QHMs5KJLatGBXYX3XUoDRnrE655yLpKq9wo6hoivtOfT8uXLxml/nXFyIyKVYH9m9w47FOeecc865aF74dc4555xzzjm3y/N5fp1zzjnnnHPO7fIqXZ/funXrart27Ure0LFp0yZ22223sMOoEPxcxc7PVez8XMUuzHM1derUTFVtFMrBdxGeN8fOfxdi5+cqdn6uYufnKnYxn6uczbBlGdTcHVKrQ142SCpI2etpi8qbK13ht0mTJnz33Xdhh1EhZGRk0K9fv7DDqBD8XMXOz1Xs/FzFLsxzJSKLQznwLsTz5tj570Ls/FzFzs9V7Pxcxa7Ec7V2Osy4GX59C6rWgwNvh92Pj8uxi8qbK13h1znnnHPOOedcSFThq3Ng0XOQVge6joK9roC02uV+aC/8Oueccy4UInIscGzz5s3DDsU551x527QYarYCEUhvA11ugr2uslrfBPEBr5xzzjkXClWdoKpD09PTww7FOedcedn4i9X0jt8DVnxsy7qNspTAgi94za9zzjnnnHPOuTirnrMcplwIC8ZBShp0vArqdgk1Ji/8Ouecc84555yLn7wcumdeDpkboMOl0OlaqNEs7Ki82bNzzjnnnHPOuZ205XeYfgvk5UBKFX6qdx0cNx96PJAUBV/wml/nnHPOhcQHvHLOuV3AlhUw+18w/xEr+DY7Ahr1ZV21/Wzu3iSS8JpfETlERMaLyG8ioiJybtR6EZERIrJMRLaISIaIdI7appqIPCQimSKyKdhfcp1Z55xzzhXLB7xyzrkKLGcLTLvWBrL6eTS0Ph2O+Qka9Q07siKF0ew5HZgJXAFsKWT9NcBw4DKgF7ASmCgitSK2eQA4CRgMHAzUBt4WkdRyjNs555xzzjnnKre8XHtMrQa/vw+7nwBHz4EDn4Zae4YbWwkS3uxZVd8F3gUQkXGR60REgCuBu1T1jWDZOVgB+AzgMRGpA1wAnKeqE4NtzgYWA4cDHxR3/PXr03j88dLHLVJ+7yluu8h1Zd2uqHX5z6Mf85/Pnt2YFSsK366o90avizWlpBS9rLDH6OeRKTW1+OepqYWnsvyNnXPOOeecqxS2rYe5D8CCZ2DQD5BWG46cAqnVw44sZsnW57ct0BT4MH+Bqm4RkU+BPsBjQA8gLWqbpSIyJ9hmh8KviAwFhtqrHgwdWn4fYNfSKewAEiolRUlJUVJTCx4LS1WqFDxWqZJHlSoKdKF69dVUqaKkpeXt8JiWplStmkdaWt52j1Wr5lGtmqWqVXOpXj2PatVyqVYtj+rV7XX16rmkpWnYpydusrKyyMjICDuMCsHPVez8XDnnnHPlJHsj/PwQzLkHtq21mt7sjVb4rUAFX0i+wm/T4HFF1PIVQIuIbXKBzEK2aUohVHUsMBZgzz330k8/LV1QWoZyR6zvKW67yHVl3a6odfnPox8jn0+Z8g29eu2/w3ZFvTd6XWEJIC+v8HXRyyNf5z/Py9v+uSrk5ha8zs0t2CZ/eW5uQcpfXngScnOFnBx7nZMD2dkFz/NfF5YyM9cDddi82V5v3QrbttljZMrLK/rvWJwqVSA9vSDVqmWpdm1LdeoUpLp1oV49e6xfvyClpydH7XZGRgb9+vULO4wKwc9V7PxcOeecc+Vgywp4twtszYQWx0LXEVB/v7CjKrNkK/zmiy7qSSHLosWyDVWqKC1alLSVA1i+fDOdKlflb5llZEyL6cI7J8cKwX/8UZC2bNk+bd5ckDZtspSVVfC4cWNBWrkSNmwoSMUVrqtWhYYNC1KTJtC4saWmTaFZs4LUqJE1EXfOufLkoz0751wSytkCmV9C0/5Qowm0/zs0PwYa7h92ZDst2Qq/y4PHpsDSiOWNKagNXg6kAg2BVVHblLJO17nEqlLF0m67xX/fqlYgXr8e1q4tSGvWwOrVljIzYdUqS99+CytW2HuipaVB8+aw++7QqlVBatMG9tjDHqtXrFYuzrkkpKoTgAkdO3a8KOxYnHOu0svdCvMfh9l3WE3v8Yttft5uo8KOLG6SrfC7ECvcDgC+BRCR6tiIzv8ItpkKZAfbvBhsszuwN/BlguN1LmmIFDSDbtky9vdt2WKF4N9/t7RsGfz2m6WlS+Gbb+CNN6wZd6QWLaBdO2jf3h732gv23tsKx1WS7ZfFOeecc84VLncbLHgaZt0Gm3+FRgdDn5es4LuLSfglqoikA+2ClylAKxHpDqxR1SUi8gBwo4j8BPwM/BPIIijoqup6EXkSuFtEVgKrgfuA6cCkxH4a5yq+GjWsJrdNm6K3ycuzAvKiRbBgASxcCPPnw7x5MH68Nb/OV7UqdOwIXbpA166W9tvPmlMnQ59j55xzzjkXYcuv8N2lUL+nTVfUpH/FvWjLy7OanSKEUT/TE/g44vXIID0DnAv8G6gB/AeoB0wBjlDVyMaZVwE5wCvBth8BQ1Q1t7yDd64ySkkp6A/cu/eO69etg7lzYc4cS7NmwRdfwEsvFWzTuLEVghs1akNWFvTqZf2OnXPOOedcAuXlwKIXYfUU6PUfSN8DjpoGdTonttC7dav111u/fvtBbDZsKBjoJitr+5Q/IM6mTdsPlJOfopsqRgljnt8MbHCqotYrMCJIRW3zB3BZkJxzIatbFw44wFKk9ethxgyYNs3S1Knw4Yetee45W9+2LfTtCwcdZKlTp4p7o9E555xzLqnl5cKSV2HmSNgwF+p1h+wsSEuHul3Ktk9VK4jmDyyTmfnnYDNtpk61vnNr1hQMRrNuXcHj1q0l71/EBstJT9/+sVYtG7G1Zk1LNWoUPNaoAddeW+juvGeec67c1KlTULDN9957n1Gr1iFMmQJffgkTJ8Lzz9u6Ro2gXz847DAYMMD6EjvnKg4RGQb8PXj5DXCRt8pyzrkksG4mfHE6rJ8FdbrAwW/YfL1SxPQe27YVDAazbJk9X768IK1caX3iVq606UsK0VqkYO7NevUstWxpj/nzc0bO2Vm7dsFcnvnzetaoUbYpSHa28CsibYADgeZYU+NMYC7wdVAT65xzJapRI+/PAvHw4XbDcMEC+PRT+PhjS6+9ZtvusQcceSQMGgT9+9vvn3MuOYlIQ+D/gM7AVmA8cBTwdphxOedcpaUKf6y06Ypq7g5VakHfl6HlybBiJXw9BZYs2T79+qulyAFd8qWkWJ+1/LTXXgXzZjZsaLUYDRtCgwbQoAGf/PAD/fr3T/znLkaxhV8RqQtcGKT2FN5ceZuIjAfGBE2anXMuZiKw556WzjvPfqfnzYMPP4QPPoBnn4VHHrGC7+GHw3HHwQkn2G+rcy6ppGDXFdWBXOxG+Ypi3+Gccy7+VGHJeJh2I/yxCZZfBr8shF/qwYJbYPG5O9bW1q1rtbItW0LPnjatR4sWNvdl8+bWxLhhQ0hNjT2O0mybIEUWfkVkOHAj8AfwWvB8Gja37hagPtAWqw0+GpgoIp8Aw1R1bjnH7ZzbRYlAhw6WLr3UuoN8+qmNKj1hgqWLL7am0SefDCed5AVh5+JBRA4BrgZ6YK28zlPVcVHbXIJNPdgMmAVcqaqfAajqShG5B1iCTUn4kqp+m7hP4JxzldC6dTB7tqWf5sC6z6H9j9ByK6wE/gd8NhzSa1lNQ+fOcOyxBVN9tG4NrVpZU+NKoLia3zOB84HxqppXyPqVQZoCjBaR5limeSzWHNo553ZatWrW/3fAAHjwQfjhB3j9dWsaffHFVkA+6ig46yz7Lfem0c6VWTowE3g2SNsRkdOA0cAlwOfB43si0imYqrAedjO8DXaT/D0R6eetwpxzLg62brUC7vTpNprojBkwc6b1x83XOw0uzYbNNeH3QdDoJLhrb2jf3poi+6iiRRd+VXW/0uxIVZdhfX2cc65ciMC++1q67Tb48Ud44QV48UWrEa5TB848Ey680LZxzsVOVd8F3gUQkXGFbPJ/wDhVfTx4fZmIDMQGuLoeOBz4RVXXBPt4B9gfyCjseCIyFBgK0KhRIzIyCt3MRcnKyvJzFSM/V7HzcxW7RJyrlC1bSJ8/n1o//0ytefNInz+fmosXk5KTA0BeWhqb2rRhU5cu5J7Rk+wWtVne+Ci2NmlIk62TWNHscFSq2s62brVCcgiS8Xvloz075yokEeje3dJdd9lAWePGwZNPwpgxNqfwsGEweLDXBju3s0SkKtYc+p6oVR8CfYLnS4HeIlIda/bcDxhb1D5VdWz++o4dO2q/fv3iG/QuKiMjAz9XsfFzFTs/V7GL+7nKzbXC6ZQp8M039jh7NuQFDW+bNLE7+qecYhc9++xDSrt21Fo3lVrTb4bl46Fed9oMfDao2T2CveIX3U5Jxu9VmQq/InIeMBAbAOsD4Klgfl7nnEu41FQbDOvww+Ghh6w2+LHH4IIL4B//gPPPt+bRrVuHHalzFVZDIJUdB7BagdX4oqpfi8h72PggecBH2IjPRRKRY4FjmzdvHveAnXMuKW3cCF99BZ9/bnM+TpkCWVm2rkED2H9/+OtfoUcPS82bb99ced0M+Px4WPYuVGsI+94N7S/xJs0xKnXhV0RuBYZgg2ClA/djI0FfF9/QnHOu9OrVs4LusGE2UNbDD8P991s69VS4+mqrFXbOlUn0jW6JXKaqN2IDZMa2M9UJwISOHTteFJ/wnHMuyaxdC599BhkZ8MknNnhJXp5NG7TPPjBkCPTubWmPPYouxKraus3LIPMr2OcO6HAZpKUn9ONUdMWN9pyuqlmFrDoXOFhVFwXbfQbcixd+nXNJRAQOPdTS0qUwejSMHQsvvWRzBt90k61zzsUkE5u+qGnU8sbsxHRGXvPrnNvlbNpktbqTJsHkyTBtmhVcq1eHAw+EG2+Egw+257Vqlby/dbNgxghI3wP2/Rc0OwKOX+KF3jJKKWbdXBE5tYh1kaM/KzveCXbOuaTRsiXcc48Vgv/1L+ta068fHHKI5U3eacO54qnqNmAqMCBq1QDgy53Y7wRVHZqe7hdxzrkKKi/PCrh33WXzMNarBwMH2hQVtWvDyJHWFG3dOhugZNQom8KipILvhrnwxRnwblf4/QOoWteWi3jBdycU1+z5KuBeEbkQuFEJXl0AACAASURBVERV5wfLnwU+EZHXgd2AMyhmQAvnnEsWderANdfAZZfB449bQXjAAKsBvvNOa3HkXGUlIulAu+BlCtBKRLoDa1R1CXAf8JyIfAN8AVyMzQf86E4c02t+nXMVz7p1MHEivPsuvPcerAgawOyzD1xxhV1cHHQQ1KxZ+n2rwrwxMPVySKkOna6Bvf8B1RrE9zNUUsVNdfRqME3BKOB7EbkfuAP4J7AIODLY9Dq88Oucq0Bq1IDLL4ehQ60QfNtt0KePzRN8xx3QpUvYEToXip7AxxGvRwbpGeBcVX1FRBpg1wHNsDmBB6nq4rIe0Pv8OucqjPnzYcIE9nnuOZtjNyenoJZ34EA44ghoGt0zpBSyFlmt7m6tofGh0PEqK/hWbxy3j+BKGPBKVTcBw0XkaeA/wJnApcEcf48X917nnEt21atbLfD551vrpH//227aXnihtUpq0iTsCJ1LHFXNwAawKm6bMcCYeB3Ta36dc0lLFaZOhTffhP/9z6YfAtLatrWpJI4+Gg44AKrs5Myxm5bCrDtgwZPQ8hTo+wLU7QL7Rc8s5+KhuD6/f1LVmap6KHArME5EXheRFuUbmnPOJcZuu8H119tN3csug6eegnbtrCn01q1hR+fcrsv7/DrnkkpeHnzxBVx1FbRpA716WV/eJk3ggQdgwQK+e+opaybWt+/OFXy3/A7fXQYT2lnBd88LbUArV66KLfyKyCEicqeI3C8ip6rqM8Be2MiOM0VkuIikJiRS55wrZw0aWN42a5aNCH3DDdC1K7z/ftiROeecc65c5Bd4L78cdt/d+uqOGWNNwZ5+2vrzTp5sfXnbto3fcefcC/MehbbnwLHzoNcYqLl7/PbvClVk4VdErsAmqO8OtASeEJHnVXWdqg7DJrU/BfhBRPomJFrnnEuADh2slVN+ofeoo2y++aVLw43LuV2NiBwrImOzsgqbWdE558qJKnz/vTVfbtPGCrxjx1oz5hdegFWrYPx4OPdcuzMeD39kwg/XwYpgaIVO18Gxc+GAsdbP1yVEcTW/w4FhqnqUqp4MHAYMFpGmAKo6FegNPAz8r9wjdc65BDvySBvT4o47rCDcqRM89BDk5oYdmXO7Bm/27JxLqF9+sUE99t4bevSA0aOthve552DlSuvbe8YZNkVRvGxbCz/eBOPbwux/Q+ZXtrx6Q5u71yVUcYXfasDaiNfrsIEw0vIXqHkM2Lt8wnPOuXBVq2b9gWfNshGhL7/cuvnMnBl2ZM4VLRiV2Tnn3Jo18Mgjlnm3awcjRtiozGPHwvLlMGECnHVWfAu8+eY+CG+1gVm3QfNBcPRM6HxD/I/jYlZc4Xcc8JiIPCwidwMTgQxV3aHhn6quLqf4nHMuKbRta7W/zz9vN4579LABsXJywo7MVWYicpGI/CPidVcR+RVYKSLf5bfWcs65SiUnB955B049FZo1g0sugfXrbfCqxYshIwMuugjq14//sbOzIC+4ONA8aPIXOOpHOOgVqNMp/sdzpVJc4fd64GqgMdAem9rouEQE5ZxzyUgEzjzTZjs47jgbEKtvX5gzJ+zIXCV2GbAl4vV9WEutK4E6wKgwgoqV9/l1zsXV3Llw3XXQsiUccwx8/DFcfLFNWTRjBlx7ra0rDzmbYc491rx54XO2rOMVcMj/oF638jmmK7Uix+dW1TzgqSA555wLNGoEr70Gr75qN5P32w/uvhuGDbMCsnMJ1Ar4CUBE6gCHAieo6rsishq4M8zgSqKqE4AJHTt2vCjsWJxzFdSmTZYpP/GEjdqcmmpz8J53HgwaBFWrlu/xc7bA/Mdg9l3wxwpoekRBYdcvCpLOTs7K7Jxzldepp8Ihh8AFF9j8wO++a3MEN/WGpi5xUoG84PlBgAIZweulWOst55zb9UybZv12X3wRNmyAjh3hX/+CIUMSlxGrwqfHw/KJ0KQ/HPwGNPJJcJJZcVMd/SAiJ4rEdstCRHYXkQdF5Jr4heecc8mtaVN4+214+GFrXdW1qxWCnUuQecDRwfPTgS9VdXPwujmwJpSonHOuPGzaBE8+Cfvvb82uxo2D44+HTz+1PkjXXFPuBV/RbJj/OGxbbzW7nW+A/h9D/0le8K0Aiuvz+xzWz/c3EblfRP4qInuKSG0RqSYiTUWkj4hcKSIfAYuADsCbCYjbOeeShog1eZ46FZo3t9ZW11wD2dlhR+YqgXuAK0UkEzgDeChi3WHA9FCiipH3+XXOxWTOHJtuoXlzuPBCKwSPHg3LlsGzz8LBB5d/E+O8bPjlKfZfOQS+GQpLXrHlTfpZchVCcX1+7xWRJ4ALgQuAK7DmVJEE2Aq8BfRX1U/KK1DnnEt2nTrB11/D8OHWB/izz+Dll6G1z13vyomqvigiS4ADgG9V9dOI1SuA8eFEFhvv8+ucK1J2Nrz5JowZY6MzV60Kp5xiA1j17Zu4/rSqsOh5mDESsn4hO60jNQ5+GpodmZjju7gqts+vqq4H7gXuFZGWQG+sGVV1YDU2yMY3qrq1vAN1zrmKoEYNy6f79bNZFPbbD154AQYODDsyt6tS1c+BzwtZfksI4Tjn3M5Zvtz68j72mNXstmljUxSdf76NOJkoqlbAFoFFL0CVdDjkLb6fV4t+zQ9LXBwurmIe8CqY33eHOX6dc87t6NRTreB70kk22OTNN1tKKa6ziXNlICK7YS20DgEaAENVdZ6InA78oKo/hRqgc87FYsoUeOghm0ohOxuOPNIKwEcdZSM4J4rmwdL/wazb4eD/Qnob6PMiVK0LkgLzMxIXi4s7vwxzzrly0q4dfPUVnH02jBxpfYHX+PBDLo6CVlnTgbuB9lgBuFaw+jDg6pBCc865km3bZqM1H3AAHHggjB8Pf/+7zdf7/vs2V2+iCr6q8Ot4eG8/+PxkyN0Cf6y0ddXqW8HXVXg+1ZFzzpWjmjVtMMo+fWw6pP33ty5MXbqEHZnbRdyLjb3RHlgGbItY9wkwIoSYnHOueKtWWa3umDHw++/QoYNNmzBkCNSqVfL74y0vByYdAplfQXo76P0ctB4MKQmscXYJ4bcwnHOunInA3/4Gn3wCmzfbze3//jfsqNwuYgBwi6ouYcdBKX8DWiQ+JOecK8KsWTYgRqtWcNNN0K2bzQ84Z45Nm5DIgq8qrJlqz1Oq2ABWBzwJx8yBtmd5wXcX5YVf55xLkN694bvvrNb3pJNgxAjIyws7KlfBVQU2FrGuDpDUE275VEfOVQKqMHGijfzYpQs8/7zV8M6aZU2bjzoq8QNirPjYanrf7wmZU2xZ11tgz/OtIOx2WV74dc65BGre3GqAzz3X+gGffrrVBjtXRtOBk4pYdxQwNYGxlJqqTlDVoenp6WGH4pyLt61brd9Pt25wxBHw449w662wdKk1ee7UKfExrfoCPvqLpawF0PM/UK974uNwofFbG845l2DVqsFTT0HnznDNNbBgAbz1FrTwBqqu9O4GXheb7/LFYFknETkeGwH6uLACc85VUmvXwqOPwoMP2rRFXbtaIfj00y0DDEvOJsg4BlKrwX4PQLuhUKVGePG4UMRc+BWRPYBTgVbYPL+RVFUviGdgzjm3KxOBq6+GvfaCwYNtIKy334Z99w07MleRqOp/ReQS4C7g/GDxs1hT6EtV9f3QgnPOVS6LF8P998MTT8CmTVbb++yzcPjhlumFYc33sGAc9HgAquwG/d6FevtAlZrhxONCF1PhN7iD/BrWTHolNrJkpOhBNpxzzsXgmGPgyy9tGqSDD4aXXoJjjw07KleRqOqjIvIc0BtoDKwGvlTVovoCO+dc/PzwA/z73zY/r4jd0b36amvuHJa102HGLfDrm1C1HnQYBrU7QqPe4cXkkkKsNb+3ARnAmaq6qvzCcc65yqdrV5gyxQq9J5wA990HV1wRdlSuIlHVTcCksONwzlUSqjB5shV6P/zQRmm+8krLvFq2DC+uravhm4th6euQVge6joSOV0DVOuHF5JJKrANe7QHc4wVf55wrH82a2UBYxx1n1w9XXgm5uWFH5ZKdiBwvIudFvG4tIl+JyEYReV1EEjaSlIh0FZEfItIWETkhUcd3ziVAbi68/jr06mXNmX/8Ee68E5YsgXvuCa/gm7PJHtNqQ9Z86HITHL8Qut7sBV+3nVgLvz8BDcozkHwikioit4rIQhH5I3i8TUSqRGwjIjJCRJYFmWuGiHRORHzOOVdedtvNrikuvxxGj4aRIzuzZUvYUbkk90+gUcTr+4DdgbHAIcCIRAWiqjNUtbuqdgcOBjYBExN1fOdcOdq6FR5/HPbeG045BTZsgLFjYdEiuO46qFs3nLg2/gJfnQsTOkLOZkhJg4FTodsoa+7sXJRYC7/XADcEg16Vt2uBYcDlwF7AFcHr66PiGQ5cBvTC+iFPFJEEzoztnHPxl5pqBd/77oPPP29I//6QmRl2VC6J7YlNd4SI1AAGAf+nqsOBG4ATQ4rreGBS0BzbOVdRbdxoNbpt28LQoVCnjt2lnTMHLroIqkePgZsgmxbDlAvh7Y6w5BVofTpojq0Tn8nVFS3WPr8jsJrfOSIyD1gTtV5V9dA4xdQHmKCqE4LXi0RkPHAAWK0vcCVwl6q+ESw7BysAnwE8Fqc4nHMuNFddBRs2zObOOzvTty988AG0aRN2VC4JVQfy2wf0wfL1D4PXc4Hmse5IRA4BrgZ6BO87T1XHRW1zCfAPoBkwC7hSVT8rZHenAU/F/Cmcc8klM9OmKnr4YZu6qH9/G7m5f//wRm7Ot/4neK8bINB+GHS+Dmo0CzcmV2HEemskF8tEvwRWBa8jU14cY/ocOExE9gIQkU7AX4B3g/VtgaYUZO6o6hbgUyzjd865XcKhh65i0iRYuRJ697YBNZ2Lsgg4KHh+PDBVVdcHrxsD6wt7UxHSgZlYi6sdGtyLyGnAaOAOYF/smuA9EWkVtV1d4EDgvVIc2zmXDH791e6+tm4Nt94Khx5qIzJOmhTulEVbfodf37LntTtCt9vhuF+g52gv+LpSEdXkmqUoqNm9DWvmnIvdxb5dVf8ZrO8DfAG0VtUlEe97CmihqkcWss+hwFCARo0a9Xj11VfL/XPsCrKyskhPT9hYKRWan6vY+bmKXf65WrSoJtde242srCqMGjWTHj3WhR1a0gnze3XYYYdNVdWeYRxbRK4A7gF+BLoDf1fVx4N19wD7qepfyrDfLGye4HERy6YA01X1oohl84DXVfX6iGXnA/1UdUgJx/C8uQz8NzR2fq5il/fzz+w1fjxNP/gAyctjxeGHs2TwYDaH3OQoLXctrbJeovmmt1BJ46smr5GbUiPUmPx7FbukzJtVNakScDqwNHjsCpyNNbO+IFjfB5tXuGXU+54G3i9p/x06dFAXm48//jjsECoMP1ex83MVu8hztXSpapcuqmlpqi+/HF5MySrM7xXwnYabb54JPAQMiVr+GHB2GfeZBZwb8boqkAOcErXdf4BPopZ9AAwqzfE8b46d/4bGzs9VDGbMUB08WPNSUlSrVVP9+99VFy4MOyrVP1arTrtW9eWaqi+mqH55juqG+WFHpar+vSqNZMybY+3zi4g0wwaZOhSoD6zG5v69T1WXx7qfGNyNTav0cvB6hoi0xmqCnwTyj9UUKyTnawysiGMczjmXNHbfHT77zKZCGjzYmkJfdlnYUblkoKovAC8UsvxvcTxMQyCVHfPZFcDh+S9EpCFWAx3TKM8icixwbPPmMXdNds7Fw3ffwe23w5tvwm67sfSUU2h1//02714y2PI7zLkHWp0GXW+B2h3CjsjtImLq8ysiHYAfsBGYs4BvsCkMrgB+EJH2cYypJtbcOVIuBbEuxArAAyLiq45Nq/BlHONwzrmkUreuDXx1/PE2HdKNN0KS9Vxxu77ob5xELlPVTFVtoqrZiQ3LOReTzz+HgQNtnt6MDLj5Zli8mAUXXxxuwXfbepgxCqYMtdd1O8PxS6DvC17wdXEV64BX/wI2AB1U9TBVHayqhwEdsME0/hXHmCYA14nI0SLSRkROBP4P+B/YsNLAA8E2fxWRLsA4rFD+YhzjcM65pFOjBrz2ms0wcccd9piTE3ZULkwiMlREponIZhHJjU5xOkwmdiO6adTynWp1paoTVHWo959zrhypwkcfQb9+cPDB8P33cOedsHgxjBwJDRqEF1t2Fsy6A8a3hRm3wLbVkBf8bNX0FiEu/mJt9nwYcLGqLopcqKqLRWQEMCaOMV0G3BrsszHwO/A4MCpim38DNbC+RvWAKcARqroxjnE451xSqlIFHnsMmjSB226D1avhpZfCm27RhUdEhmD9fZ8B9sGmF0oDjsNmZ9ihOXRZqOo2EZmKtbp6LWLVAOCNeBzDORdnqvDeezZq89dfQ/Pm8MADdte0Zs2wo4MVGfD5KbA1E5ofA91GQv39wo7K7eJiLfxWBYoqWG4M1sdFUIC9MkhFbaPY3MMj4nVc55yrSETseqZRI7jiCmvF9tZbUKdO2JG5BLsSuBO7aXwhMEZVvxeReti4HKtj3ZGIpAPtgpcpQCsR6Q6sUZtd4T7gORH5Bpt14WJsPuBHyxq89/l1rhzk5cH48XZ3dOpUm7bokUfg3HPDv0uaswX+WAHpbaBOJ2jYBzrfAA0PCDcuV2nE2uz5B+AyEdlu+2BaokuC9c455xLs8svhhRfgiy+sRdsKH/avsmmPzXOfF6SqAKq6FrgdG5sjVj2BaUGqAYwMno8K9vkKVtj+J5bvH4SN6ry4rMF7s2fn4ig3F159Fbp3hxNPhHXr4MknYd48uPjicAu+uVvh5//AhHbwxWCrla7eGA59ywu+LqFirfkdBbwNzBGRV7CmyE2BU7CM9+jyCc8551xJzjgD6teHk06Cvn1h4kRo2zbsqFyCbAFSVFVFZDmwB/B1sC4Lq5mNiapmYANYFbfNGOLY1clrfp2Lg9xceOUVq+mdMwc6doTnnoPTT7d+MqHGtg0WjoOZt8HmpdDoIOh2qzVfci4EMdX8qur7wDFYE+cbsb62/8Qy1mNU9cNyi9A551yJBg6ESZNgzRro0wemTw87IpcgMyhoqvwZcIOI9BaRXljXoJ/CCiwWXvPr3E7IybFCbqdOcOaZkJoKL78Ms2bBWWeFX/AFWPA0fPM3qNEC/jIRDv8UmvQLOypXicX8XxEUgN8XkZrYIFNrVXVzuUXmnHOuVHr3trmAjzwSDj0UJkyAgw4KOypXzsZitb0ANwGTgM+D1xuBE8IIyjlXjrKz4fnnbZ7eX36BffaBN96AE06AlFh7NJaTvFxY/CJUSYeWJ8Ie58BuraHZkV7b65JCqf9DVHWzqv7mBV/nnEs+nTtb/9/GjWHAAHj77bAjcuVJVV9R1TuD5/OBzsCRwIlAu6Apc9ISkWNFZGxWVlbYoTiX/LZtgyeesGbN559vIxy++SZMmwZ//Wu4BV/Ng0Uvw7ud4ashsPAZW55aHZoP9IKvSxpF1vyKyM3AE6q6LHheHFXVW+MbmnPOubJo3Ro+/xwGDbKKgKeegiFDwo7KJYKqbsJqfysEVZ0ATOjYseNFYcfiXNLatg3GjbPJ3Rcvhp494cEH4eijk6NQuXwSTL0S1s+COp3hoNeg5V/Djsq5QhXX7HkE8D6wjJKnFFJsmgXnnHNJoFEjmDzZBvw85xxYtQqGDw87KhcPIrIn8CowUlXHF7HNccAtwEmquiiB4Tnn4mXbNnj6aSv0LlkCBxxgUxYNTIKaVFXIy4bUqpC9ATQH+rwIrU6FlNRwY3OuGEW2j1DVFFX9JuJ5ccm/5c45l2Rq1YJ33oFTT4Wrr4ZrrrHrFVfhXQnkFVXwBQjW5QCXJywq51x8bN1qhdx27WyKoubN4b334Kuv4Kijwi34qsJv78IH+8PsO23Z7ifAoFnQZrAXfF3Si6lzgIi0EpG0ItZVEZFW8Q3LOedcPFSrBi++CMOGwd13w3nn2VgprkIbADwVw3ZPAUeVcyw7xfv8OhchstB7ySWw++7wwQfw5Zfh1/aqWvPmD/vAJ0fD1kyo1cHWSYoXel2FEWvP+IXAvkWs2ydY75xzLgmlpsJDD8HIkfDMM9YPeNOmsKNyO6E1MDuG7X4C2pRvKDvHpzpyjh0Lva1awYcf2uiFRxwRfhNngB+ug8kDYMtvsP9jcMxcq+l1roKJdaqj4v7r0oC8OMTinHOunIjAzTdDkyZ2bdW/v40E3bBh2JG5MsgGqsawXVWs6bNzLhlt3WojEt5xB/z6q03S/vTT9gOdDAXeVV9AzZawWytofao97nkhpFYLOzLnyqzIml8RqSsie4hI/vyBLfJfR6TOwDnA8oRE65xzbqf87W82HeQPP9gcwIsXhx2RK4N5QN8YtjsI+LmcY3HOlVZhNb0TJ9ow/YcfHn7BN3MKfDwQJh4Ec+61ZfV7QIdhXvB1FV5xzZ6vAOZjmawCrwfPI9N04G/A2PIN0znnXLyccAJMmgQrVkDv3lYQdhXK68BlETendxCMCH0p8FrCoioD7/PrKpWimjcnS6F3zfeQcQx8eCCsmQr73g3d7ww3JufirLhmz28Ci7Amz08BtwG/RG2zFZitqtPLJTrnnHPl4qCD7Hpr4EA45BCrDR4wIOyoXIxGA2cB34jI7cAEIL8OvzVwLHADNlXhg6FEGCOf59dVCvlTFt1+Oyxdancdn3oqOQq8keY/Bplfwj63Q4fLIK1W2BE5F3dFFn5V9UfgRwARUeBtVV2dqMCcc86Vr86d4euvbeaMQYPsWuzss8OOypVEVTeLSH/geeBe4J6oTQT4CDhbVTcnOj7nXGDbNhtl8PbbrY/JgQfCE0/YncZkKPSunw0zRkLHK+11t9uh+7+hap1w43KuHMU04JWqPlPegTjnnEu8Fi3gs8/gr3+FIUNgyRK44YbkuC5zRVPV5cDhItILOBxoGaxaCkxS1W9DC865yi47u6DQu2gR7L8/PPooHHlkcvy4bpgLM0bB4pegym7Q4higJVT3ERDdri/W0Z4RkS7ABUBHoHrUalXV/vEMzDnnXGLUqQPvvQcXXAD//CcsWGDXaWmFzu7ukklQyPWCrnPJIDsbnnsObrsNFi6EXr1gzJjw5+jNpwrfXwU/PwQp1aHTNbDX1VboXZwRdnTOJURMhV8ROQD4BOsD3B4b6Koe0Ar4FRsYyznnXAVVtSo8+yy0bQu33mrd0l57zQrGzjnnipGTAy+8YD+ev/wCPXrY5OqDBiVHoXfTUqjZAiQFau5uzZw7XQvVG4cdmXMJV9xoz5HuAP4LdMb6El2gqm2wplap2GBYzjnnKjARGDXK+v5+/DH07Wst9pxzzhUiNxeefx46dYJzz4XateGtt+Dbb+Hoo8Mv+G7+Fb75O0zYE5a+Ycv2vhr2u9cLvq7SirXw2w0bWEOD16kAqjoZK/j6OOjOObeLOO88eP99+PVXOOAAGxTLufLgUx25Cik3F156Cbp0sVECa9SA//4Xpk6F444Lv9C75Xf47nIYvycseBL2uAAa9g43JueSRKyF3zRgk6rmAWuAZhHr5gJd4h2Yc8658PTvb4Xe9HTo1w9efjnsiNyuSFUnqOrQ9PT0sENxrmR5efDqq9CtG5xxBqSmwuuvw7RpcOKJ4Rd6wfr1Tj4C5o2BtkPgmJ9h/0esubNzLubC7y9Ai+D5dOB8EUkRkRTgPGB5eQTnnHMuPHvtBVOm2JgtgwfDzTfbtZ8Ll4j8V0TaBc+HiEiDsGNybpeWl2c1u927w2mn2bJXXoHp0+GkkyAl1svpcrJ1tU1ZlLPZCuC9HoFj5sIBj0N6m3Bjcy7JxPrfOgHoFzy/AzgK2ACsBc4A7ot7ZM4550LXsCFMmgTnn29juZx8MngL1dAdD9QPnj8N7BliLM7tulRh/HgbwOqkk2ze3hdftELvqaeGX+jdthZ+vAneamOF3xWTbXnjg6CW/yw4V5hY5/kdEfF8kogcCJwE1ATeV9UPyye8xNuwYQMrV64kOzs77FBCV6dOHebMmRN2GAmXlpZG48aNqV27dtihOJcUqlWDJ56Arl1h+HAbCOvNN21kaBeKFUBv4BtsEEotfnPnXKmo2vxvN99s/XjbtbMpjAYPtqbOYcvLgVl3wE/3QfZ6aHUKdB0BdTqFHZlzcaWqZGVlsW7duu3S+vXrWb9+PRs2bNghbdy4keLGkYh5nt+oQKYB08r6QZLVhg0bWLFiBS1atKBGjRpIMvTdCNHGjRupVatW2GEklKqyZcsWfvvtNwAvADsXEIErr7RBTU87DXr2tH7AAwaEHVml9Cpwv4jchxV8vy4mv1JVLVNeXxYi0gZ4CmiKxXaoqmYm6vjO7RRVmDjRCr1TpkCbNvDkkzBkCFRJ2L9R0fJyISUVJBWWT4Imh0HXkVCvW9iROVciVWX9+vWsXLmSlStXsmrVKjIzM8nMzGTVqlWsXr36z7RmzRrWrFnD2rVryc3NLXa/aWlp1K5dm1q1av2Z6tevX+T2SfCfnDxWrlxJixYtqFmzZtihuJCICDVr1qRFixYsW7bMC7/ORTniCJvF48QTYeBAuOsuuPrq5BjnpRK5CvgC6ATcAowDfgszoAjPADep6qciUgf4I+yAnIvJ5MlW6P3iC2jVCsaOtemL0tLCjsz68s4bA3MfgiOnQI2m8JcPIbV62JE5R15eHpmZmfz222/89ttvLFu2jGXLlvH7778zc+ZMsrOzWbFiBcuXL2fbtm2F7qNmzZo0bNiQBg0a0KBBA1q1akX9+vWpV6/en6lu3bp/pjp16vyZqlWrVug+i7opXGThV0QWEntTKlXVCt+5IDs7mxo1aoQdhksCNWrU8KbvzhWhXTv46ivrB3zNNVYYfuIJm+LSlT9VVeA1ABE5Fxitqj+GGpTF0hnIVtVPAVR1fcghOVeyzz6zQm9GBrRoAWPGwAUXQNWqYUcGOVtg/mMw+y74YwU0OxJyguacXvB1CbJt2zaWLFnCjzcoDAAAIABJREFUwoULWbx48Z9p6dKlLFmyhF9//bXQQm3jxo1JT0+nffv27L333jRp0oSmTZvSuHFjGjduTKNGjWjUqBENGjRIaPmruJrfT6iE/Ygqe1NnZ/x74Fzx0tNtsNOePeH66+HHH+GNN2zaS5c4qhq3ntcicghwNdADaA6cp6rjora5BPgHNuXhLOBKVf0sWN0e2CgibwGtgAmqenO84nMurr7+2gq9EydC06YwejQMHQrVk6RQmZ0F7+wN/8/evcfVfP8BHH99KkTlnlCopNyvI/eSzKXF5jKbjbG5M2zMfcqd3H/IMGGb22ZsorVcqrHJ3K/NKCwkYSiU1Of3x/dopDioTpfP8/E4j+r7/Z7vefd1dM77fD6f9/v+ZbByg+abtUJWipIF7t+/z/nz5/n77785f/48ERERnD9/nsjISC5fvkzKE60ejIyMsLGxoUKFCjg7O9O1a1dsbGywtrbG2tqa8uXLU7ZsWQoUKEBISAiurq6G+8XSkWHyK6XsnY1xKIqiKLmMENrIr7Oztg7Y2RmWL4cPPzR0ZPmLEKIcMBJwQasCfRMIAeZLKV+mFaE5cAr4RndL+zjdgUXAYGCf7usvQojqUsp/0N5TuAJ1gavAT0KId6SUW1/tN1OULHDokJb0/vILWFrCvHkwcCDkhCVvyQ/hegiUexMKmEOVQVC6KVi5GjoyJY+IjY3l9OnThIeHp97Onj1LVFTUU8dZWVlRuXJlXFxcsLOzw97eHltbW2xtbbG2tsYkJ6yBf0W5N3Il33B1daVmzZosWbIEAFtbW4YOHcqoUaMyvI8+xyiKkjlcXODoUXjvPejZE4KD4X//AzMzQ0eW9wkhHNES0eJo64DPoxWbGg70EkK0kFKe0+dcUsoAIEB33jXpHPI5sEZKuVL386dCiHbAIGAccBk4LKW8pDvHdrREWCW/iuEdP64lvdu2QcmSMHMmDB2qTWMxtJRHcOFbODUF7l3UevQWdYQa4w0dmZJLPXjwgNOnT3P8+HFOnDjByZMnOXXqFLGxsanHmJubU7VqVVxcXHBycsLR0ZEqVarg4OCQpwve6pX8CiF6vegYKeUznxIr2Sc2NhYvLy8CAgKIjo6mePHi1KxZk7Fjx9Iml5RjXbNmDUOHDn2mPPmWLVsokBMKTiiKkqFy5WD3bvD2hhkztDXBmzZp7ZGULDUbuAM0klJefLxRCFEJCNLt7/y6DyKEKIg2HXpuml1BQFPd9weBUkKIUsAttJHoDBNfIUR/oD+ApaUlISEhrxtmvhAfH6+ulZ7i4+P5c/VqbNeupUxoKEnm5lz++GMud+5MspmZNgpsSDIZqwd7qBS3liLJV7hbwImLJWdx6/AVEFezNRT1vNJfTrtW9+7d49y5c/z999+cO3eOc+fOERUVlTpV2dTUFDs7Oxo2bJg6emtra0vp0qWfWeZ3584dDh8+nGmx5bRrBfqP/K7JYPuTa4JV8mtAXbp04f79+6xatQoHBweuX79OaGgoN2/eNHRor+155coVRck5TExg2jRwddWmPjdqpM0oHDRIVYPOQq2AgU8mvgBSyktCCG/AN5MepzRgjNZj+EkxgLvuMZOFEGOAYLT+w6FobZnSJaVcIYSIBjwLFCjQIKetC8upcuIauhzp77+JGTwYqz17tNHdL7+kwOefY1e8ODmmRXnCdfi5I1hUgdq+FLX2pLaB/liq55X+DHmtHj58yPHjxzlw4AB//vknf/75J2fPnk3db2NjQ7169fjoo4+oU6cOderUwc7ODiMjI4PEmxOfV/peCbt0bm8Ak4FzgHOWRKfo5fbt2+zdu5dZs2bRunVrKlWqRMOGDRk1ahTvvfceoE0Dnjv36Q/sXV1dGTp0aOrPW7ZsoXbt2hQuXJiSJUvSvn17YmL+e5+zY8cOnJ2dKVy4MKVKlcLT05OEBK2LxcOHDxkzZgw2NjaYmZnRsGFDfv3119T7hoSEIIRg+/bt1K1bF1NTUxo0aJD66VJISAh9+vTh3r17CCEQQuDt7Z1unKB9kvThhx9ibm5O2bJln/nd0rpz5w79+/enTJkyWFhY4OLiwiFDf+KrKHmUu7s2w9DFBYYMAU9PiEmbMimZpSAQl8G+ON3+zJS2EKZ4cpuUMkhKWVtKWUtKOVRXmTrjk0npL6Xsb54Tpp4qeUNkpNaiqFo1Sv/+u1aY4MIFmDIFihc3bGwyBf75EcL6aD2FTctorYvaHwGbjupTQuUZN27c4Oeff2bMmDG0aNGCokWL0qhRIz799FN27tyJo6MjU6ZMISAggOvXrxMVFcW2bduYPHkynTt3pnLlygZLfHMqvUZ+H6/fSeMScERo4+WfAz0yMzBFf+bm5pibm7Nt2zaaN2+O6StUKrx27RrvvfceM2fOpEuXLs9MUwgMDKRTp06MHTuW1atX8+jRI4KCglKnVPTp04eIiAjWr1+PjY0NAQEBeHp6cvDgQerUqZN6nlGjRrFo0SKsra2ZPHkyHh4eREZG0rRpUxYuXMj48eOJiIhI/b0yMn/+fMaMGcOkSZMIDg7m008/xd7ens6dn53dJ6XEw8ODYsWKsX37dkqWLMnatWtxc3Pj7NmzlCtX7qWvl6Ioz2dlBQEBsGSJ9t6zdm1YtQreesvQkeU5x9DW3v4ipUwtx6l7bR6s258ZbgDJaOuJn1SGZ0eD9SaE8AQ8y5cv/xqhKQrwzz/a1JPVq7VpKCNGENasGc3SeV+Q7aSEK9vghBfcPg5Fq0JirJb8Flcl8pX/XLlyhdDQUEJDQ9m7dy/h4eEAFCxYkAYNGjBkyBAaN26Ms7MzFSpUUN1JXkFmFLzai5b85jkjRsCxzHrboKe6dWHhwpe7j4mJCWvWrKFfv36sWLGCevXq0axZM7p164azs36D8levXiUpKYmuXbtSqVIlACpVqpS64H3q1Kl07dqVadOmpd6ndu3aAERERLBhwwYuXrxIxYoVARg6dCi7du1i+fLl+Pr+N+vuyy+/pG3btgCsXr0aGxsb1q9fT9++fSlWrBhCCMqWTfve6lnOzs5MmDABAEdHRw4ePMj8+fPTTX6Dg4M5duwYsbGxqX3Epk6dir+/P99++y2jR4/W6xopivJyjIxg2DBo3Rp69NBGgPv0gQULoFgxQ0eXZ0wBtgPhQohNQDRagtoNrfWQR2Y8iJTyoRDiMNAGXY9hnTbAj69xXn/A38nJqd9rhqjkV1evaoUGVurqsA0YAOPHQ/nyJOWEtYbxkbDvXbh1GMwdoMm3UOl9MDI2dGRKDhAbG8uePXvYvXs3ISEhnDun1ScsVqwYzZo1o1evXjRv3pw33njjlQa3lGdlRvLbGIh/4VFKlurSpQseHh7s3buX/fv3ExgYyLx585g+fTrjx7+4WmCdOnVwd3enZs2avPnmm7i7u9OuXbvU5Pfo0aP07t073fseOXIEKSXVq1d/antiYiJubm5PbWvSpEnq9+bm5tSqVYszZ8685G/79Hke/7xly5Z0jz18+DD379/H0tLyqe0JCQmpo8yKomSdGjXgzz9h6lSYNUtrq7lqFbz5pqEjy/2klIFCiLeAacAE/puGfBh4S0oZpO+5hBDmgIPuRyOgohCiLnBL18poPvCtEOJPtMrSA9H6AX/1qvGrkV/llV2/DrNng68vPHqkfbI2cSLoPoQ3KCm19byFraBweTAuDM5+YNcTjFSjlfwsISGBffv2ERQURFBQEMePHwegaNGiuLi4MHDgQFxdXalTpw7GxuoDkqygb7Xn9JrUFwRqon2qvCQzg8opXnYE1tBMTU1p06YNbdq0YdKkSfTt2xdvb29GjRqFkZERaZdeJSUlpX5vbGxMUFAQYWFhBAUFsWrVKsaNG0doaOhT05bTk5KSghCCgwcPPlOV+fFIqyGlpKRgZWXF3r17n9lXtGhRA0SkKPlPoULajMROneCjj6BtW+296ty5WtcR5dVJKQOBQCFEEaAE8K+U8v4rnOoNtGJVj03W3dYCvaWUm3SVnCcC5dB6AnfIYGmUvrGrkV/l5dy6BXPmwOLF8OCB1l9t0iSwtzd0ZJqYEDgxCe5HaS2LjE2hzbPvP5T8IzIykoCAAAICAggJCeHBgwcUKFCAZs2aMW3aNNzd3WnQoEGu7p2bm+h7lb3T2ZaItu53OjAzswJSMk/16tV59OgRCQkJWFpaEh0dnbovISGBv/76i3r16qVuE0LQpEkTmjRpwqRJk6hWrRqbNm2iTp061KtXj927d9Ov37PvT+rVq4eUkmvXrtGqVavnxhQWFoa97gXq3r17nDp1il69tE5aBQsWJDk5Wa/fLSws7Jmfq1Wrlu6x9evXJyYmBiMjo9THVhTFMBo2hCNHtNozPj6wY4f2HrZbN1Xr5XXpEt5XSXof3z8EbeT4ecf4knkVpBVFf3fuaGsmFiyAuDjo3l3rrebkZOjINLG/a0lvzB4oXA5qTDB0RIqBPHr0iN9//x1/f3+2b9+eWo3ZwcGBvn370rZtW1xcXJ5b20bJOvoWvMrWMmFCiHLALKADYAFEAoOklKG6/QLwQusPWAI4AAyRUp7Ozjhzips3b9KtWzc+/vhjateujYWFBYcOHcLHx4fWrVtTtGhR3Nzc8PPzo2PHjlhaWjJ9+vSnRn7DwsLYtWsXbdu2xcrKiqNHj3LlypXUqcwTJkzA09MTBwcHevTogZSSoKAgBgwYgKOjIx988AG9e/dm3rx51K9fn1u3bhESEvJMEapp06ZhaWlJ+fLlmTJlCgULFqRHD61Wmq2tLQkJCezcuZN69epRpEgRihQpku7vHBYWxsyZM+natSshISF88803rFu3Lt1j3d3dadasGZ06dcLHx4eqVaty7do1AgMDcXd3p0WLFpn1T6Eoih5MTbUlet27wyefaF/XrtWSYPX5VP6ipj0rLxQfr1XO8/GBf/+Fzp1h8mSomYMKRV3/DXa5aAWs6i8AhwFgYviZb0r2iY+PJzAwkJ9//pkdO3bw77//UrBgQVxdXRk8eDDt27enSpUqhg5TIXPW/GYqIURxtLVE+9CmVMcC9sD1Jw4bDYwEegNngUnATiGEk5Qyo5YPeZa5uTmNGzdm0aJFnD9/nsTERKytrenRowcTJ04EYNy4cVy8eJFOnTphbm7OhAkTuHr1vwbqxYoV4/fff2fx4sXcvn2bChUqMHr0aD788EMAOnTowNatW5k8eTJz5szBwsKCpk2bMmjQIEArXjV9+nRGjx7N5cuXKVmyJI0aNXpmJHjWrFmMHDmSs2fPUqNGDbZv346ZmRkATZs2ZeDAgbz//vvcvHkTLy+v1HZHaX3++eecOHGC6dOnY2ZmxpQpU+jatWu6xwohCAgIYOLEifTr14/r169jZWWVWkhAURTDqFMHwsK0pHfSJG1t8PjxWnXoQoUMHZ2SHdS0ZyVDDx7AV1/BzJkQGwsdOmhTRho0MHRkmltH4O7fYPseWLaARivB9n0wMTN0ZEo2uXXrFj///DNbtmxh586dJCYmUqpUKTp27EjHjh1p06ZNau0cJQeRUup1Q2tu3wdYAezQfe0NGOt7Dj0fZwbw+3P2C7RqlhOe2FYYrZ/hgBed39HRUWbkzJkzGe7Lj+7evZtp5woODpaAjI2NzbRzZrWXeT4EBwdnXSB5jLpW+stP1yoqSspu3aQEKR0cpNy2TcqUFP3vb8hrBRySmfg6mB9vz3ttVp6W5/8uJCZKuXSplOXLa38QWreW8o8/XulUWXKtbh2XMvRtKdch5U+2UiYnZf5jGECef15lkhs3bshRo0bJNm3aSGNjYwnIihUryhEjRsiQkBCZlJQ3ng+ZJSe+Nus1nVkIUQk4DawC2qH19WsH+AGndPszy9vAASHEJiHEdSHEMSHEUPFfIys7tDYOqRUspZQPgN+AppkYh6IoipJNbGzg++/h11+1Fp0dO0K7dvAKxeCVXEQI4SmEWBEfr5pG5HuPHoGfHzg6wpAh2hqI4GDYtQvSdHgwiLjzsK87/FJHW9dbyxvaH1PVm/OB27dvs3r16tSlgXPnziUyMpIvvviCgwcPcvHiRRYsWICLi4sqWpUL6PsvtAQoCjSXUv7xeKMQohlav7/FQMdMiskeGAwsQFv3W1d3/sdxPG4CG5PmfjGAdXonFEL0R1sfjKWlJSEZ9H0rVqwYcXH5btZ0hpKTkzPtety/r9VgiY+Pp1Aumc+YkJCQ4XMlrfj4eL2Pze/UtdJffrxWBQvC4sWCn38uz5o1ttSqZYKHRzS9e1+kZMmHGd4vP16rvECqac9KcjJs2qQVrzp3TquKt2IFtGmTM6rgSanF8fBfuPqLVsiq2kgoWMLQkSlZ6MGDB2zfvp3169cTEBDAw4cPsbe3Z/To0djZ2dG3b19ETnh+Ki9N3+TXDRj8ZOILIKX8XQgxnsxtdWSENkw9TvfzUSFEFWBImseRae4n0tn2OM4VaNO0cXJykq6uruk+cHh4uJqb/4S4uLhMux4dOnR4PEU91zA1NX2qGvbzhISEkNHzSnmaulb6y8/Xyt0dvLy0ujZffVWePXvKM3IkjBoF6f1Zys/XSgjhB0ySUl42dCyKojcpYetWbcH/6dNQuzb89JM27SMnJBVxEXBqKhgVBOcVUKohvHMFCqj3iXlVcnIyISEhrFu3js2bNxMXF0e5cuUYPHgw77//Pg0bNkQIQUhIiEp8czF9qzjH83TBqSdd5zVaK6QjGkg70S0ceNy1/Jrua9k0x5Th2dFgRVEUJZcqXVorhhUe/l+tGzs7rTfw/cx81cn9PgJKAgghjIQQe3QfGud4atpzPiQlBARohau6dNGmO2/aBEePao3ADZ1U3LsEB/rBdif4Z5M2wvv4w3uV+OZJf/31F+PGjcPW1hZ3d3c2b95M165d2b17N1FRUSxYsIBGjRqphDeP0Df5/Q4YmMG+AcA3mRMOoFV6Ttu0zRGtpzDABbQEuM3jnUIIU6AF8AeKoihKnuLgoK0H/vNPeOMN+OILqFwZFi3Kn0mwEOKaEGK7EGKyEKKTbvPjqTUCcEVrE5jjSSn9pZT9Vb/LfCI4GJo3Bw8PuH0b1qyBU6fg3XfBKFu7aj5LSri4HvyrwIVvoMog8IyAerMNn5Arme727dt89dVXODs7U61aNebMmUPt2rXZsGEDMTEx+Pn54ebmhrGxsaFDVTKZvtOezwPdhBAngR/RRlitgK5oL7C/CCE+fnywlNLvNWJaAPwhhJgAbALqAcOA8bpzSyHEQmCCEOIv4G9gItro9PrXeFxFURQlB2vYEAIDYd8++PJLGDFC6xc8ciTUrJmv3qAMBxqgfeg7TLfteyHEXuBPtEQ4d60zUfK2sDCYMAH27AFra1i2DD7+WFvkb2gPoiEpHiwctJZFlftC9XFgVsHQkSmZLCUlhZCQEFatWsWWLVtISEigZs2azJ07lw8++ICyZdNOKlXyIn2T36W6rzZAjXT2+z7xvUSrAv1KpJQHhRBvo7U8+hL4R/f1ycfwQWtvtBQoARwA3pT5sMevoihKftO8uTaA9NtvMH06jBkDFhaNGTYMPv0UrKwMHWHWklJuQvtwGF0nhGTAHygPTEAb/d0ihAgAdkgpAwwVq5LPHTsGEyfCjh1QpgwsXAgDBoCpqaEjg4TrcGY2nPOFMi7QKlBLeBv6vvi+Sq5y9epVVq9ejZ+fH5GRkRQvXpyPP/6YPn360KBBAzWdOZ/RN/m1y9Io0pBS7kDrJZzRfgl4626KoihKPtSypXY7eBBGjrzNjBmWzJ0LPXvCZ59B9eqGjjBrCCE+Ag4BZ3SzoQC+k1KeEEKYAA/RlitVBtYClgYLVsmf/vpLK2T1ww9QvLg2RePTTyEnTG9PvAnhc+DsYkhJANsPoeYkQ0elZLLk5GSCgoJYsWIF/v7+JCcn06pVK6ZOnco777xD4cKFDR2iYiB6Jb9SyksvPkpRFEVRsl/DhjBlymmsrV1ZsABWr4avvwY3N+39tqcn5LFlW5PQPpR+IIQ4gTbjqrkQ4jJwR3fMVinlEZHDhzSEEJ6AZ/ny5Q0dipIZLlzQSrR/+y0UKaKtT/j8cy0BzinOr4AzPlDpPajlBUXTlplRcrNr167h5+fHihUruHTpEmXKlGHUqFH07dsXBwcHQ4en5AAvVV1ACFFTCDFECPGlEGKwEKJmVgWmZJ2UlBQGDBhAqVKlUku25ySbN29WU1AURXlpVaqAry9ERcHMmVrL0Hfe0SpET5kCV64YOsLMIaWsjFbduSPwE9o0Zx8gFjiNlgy7CiGKyxzeY04VvMojrl6FwYPByUmr3PzZZxAZqf3HM3Tim3QXTk6Byz9rPzsOhQ4nodl6lfjmEVJKQkND6d69OxUqVGDChAk4ODjw/fffExUVxaxZs1Tiq6TSK/kVQpgIIb4DjgOLgcloPXePCyG+FULkrc/Uc5nevXvz1ltv6X18QEAAq1evxt/fn+joaJo2bfraMXh7e1OzpvosRFEUwytdGsaO1d57//gjVK2q9QyuWFHrpPLTT/DwoaGjfD1SyttSyt1Sytm6Tc2AWsBCtGT4SyBWCKG6IChZ58YNrfl25cqwciX07QsREVo/MksDz7ZPiqdi3Dr42RZOesH137TtBSygeHrla5TcJi4ujqVLl1KzZk1cXV3ZuXMnw4YN4+zZs+zatYtu3bpRMCcUVVNyFH3X/HoB76JNtfoOrdVQWeBD3b5I3VclFzh//jzlypXLlKRXURQlpzIxgc6dtVtEBKxapU2J3rZNS5Dff19bH/zGG3mik4mUUp4RQpxFKxDZGm0EuL1hw1LypDt3YP587Xb/vvYfyctLm2aRE0SuhaOjsE+8AeU9oPZkKNnA0FEpmeTs2bMsWbKEtWvXEhcXR4MGDfDz8+O9995Ta3mVF9J32vOHwFQp5XQp5SUpZaLu63RgGtAr60JUXsbjUeBFixZhbW1NiRIl6NOnD/d1zTB79+7NZ599xj///IMQAltbW0CbMuLj40PlypUpXLgwtWrVYuPGjU+d++rVq3zwwQeUKlWKIkWKULduXYKDg1mzZg2TJ0/m9OnTCCEQQrBmzRoA7ty5Q//+/SlTpgwWFha4uLhw6NChp877zTffUKlSJYoUKcJbb71FTExMll8nRVHyl8qVtZo7UVFa4Vk3N1ixAho1AkdHbWnimTOGjvKV9UHrjPAUKeVRKeUMA8Sj5FX378OcOWBvr01pbtdO69O7Zo3hE99HDyA5QfeDgBL1OVJ6KbhuV4lvHpCSksKOHTto27YtVatWZcWKFbz99tuEhYVx6NAh+vTpoxJfRS/6jvyWB/ZnsO8PtNYKSg6xd+9eypUrx65du4iKiuLdd9/F0dGRcePGsWjRIipVqoSfnx8HDx5Mbd49ceJENm/ezNKlS3FycmL//v3069eP8uXL4+Hhwb1793BxcaFMmTJs3boVa2trjh8/DkD37t05deoU27dvT10/XKxYMaSUeHh4UKxYMbZv307JkiVZu3Ytbm5unD17lnLlynHgwAF69+7N1KlT6datG8HBwYwfP95Ql05RlDzOxAQ6dNBut2/Dli2wYYOWGE+bpk2R7tJFu9WtmztGhKWUa5/4PlkI0Qo4a8CQlLzm4UOtitzUqXDtGrRvr/2HqV/f0JFBciJEfA2nZ0DVz6HaSLDrCfa9uJvDapooL+/u3busXr2aJUuWcP78ecqXL8/UqVNTB1YU5WXpm/xeRVtPtCudfU11+/OeESO0HnXZqW5drQ/eayhatCjLli3DxMSEatWq0a1bN3bv3s24ceMoVqwYFhYWGBsbpzbzvnfvHvPnzycoKIgWLVoAYGdnx759+1i6dCkeHh6sX7+ea9eusX//fkqXLg1A5cqVUx/T3NwcExOTpxqE79mzh2PHjhEbG5v6adzUqVPx9/fn22+/ZfTo0SxatIjWrVszYYL2+YmjoyMHDx5k1apVr3UNFEVRXqR4cfj4Y+127ZqWCP/4o1Ysa/p0qFBBqxTt6QmtWkGhQoaOWD9SylBDx6AvVe05h0tOhvXrtSnNFy5AixZa+6LmzQ0dGSQ/hAtr4NQ0uB8Fls2hlLO2Lzd8aqU8V2RkJIsXL2bVqlXExcXRpEkTpk2bRufOnSlQoIChw1NyMX2T33XABCFEiu77aLQ1v++hjfrOfs59lWxWvXp1TEz++6ctX748Bw4cyPD4M2fOkJCQQLt27Z6qspyUlJQ6Lfro0aPUrl07NfHVx+HDh7l//z6WaYpeJCQkEBERAUB4eDienp5P7W/SpIlKfhVFyVZly2rFagcP1mr4bNsG/v7abE5fX61rS6tW2izPtm3BwUG9v84MUkp/wN/JyamfoWNRniClVhlu4kRtPUC9evDLL9qTP6c88cN6w6UNWsLrvArKuuec2JRXIqVk3759LFiwgJ9++gljY2O6d+/O8OHDadiwoaHDU/IIfZNfb8Aercqz9xPbBbBBtz3vec0RWENJ+4mYEIKUlJQMj3+8z9/fn4oVK6Zuj4+Pp0SJEoD2B+llpaSkYGVlxd69e5/ZV7Ro0Vc+r6IoSlYqXfq/EeGEBAgO1t73BwZq64VBGxV2c4PWrQ0bq6Jkul27YPx4OHhQa130ww9a1Tijl+qOmflSkrVkt2xrKFwOnEaA7YdQvr1KenO5pKQkNm/ezPz58zl06BAlS5Zk3LhxDBkyBDUrRMlseiW/UspHQA8hxAygBVp/wVtAqJQy95YIUQBtpLhQoUJcunQJNze31O1xcXFYWFgAUL9+fb777jtu3LiR7uhvwYIFSU5Ofmpb/fr1iYmJwcjICHt7+wwfOyws7KltaX9WFEUxFFNTbXlje13N5IgI2LkTdu+G7dth7drn319Rco0DB7Skd88erS+Yn59WxdlE33GSLCJT4J8f4KQ33P0L6kyHGuOhdCPDxqW8tjt37rBy5Ur+97//ERUVhaOjI8uWLaNXr14UKVLE0OEpeZRef9GEEKVGCUFnAAAgAElEQVSBeCnlKeBU1oakZDcLCwtGjRrFqFGjkFLSsmVL4uPjCQkJoUiRIvTv358ePXowa9Ys3n77bWbOnImNjQ0nT57EwsKCVq1aYWtry6VLlzhy5AgVK1bEwsICd3d3mjVrRqdOnfDx8aFq1apcu3aNwMBA3N3dadGiBcOGDaNp06bMnDmTrl27EhISwtatWw19SRRFUdJVubJ2GzgQUlLg+PGcUfNHUV7Z6dPa9OafftJ68y5aBAMG5IxF7lE/wYkv4c4pKFYDmm+GCu8YOirlNUVFRbFo0SJWrFhBXFwcLi4uqTVmjAw9w0DJ8zJ8hgkhjIUQ3kKI20AMcFcI8aMQonj2hadkl6lTp+Lt7c3cuXOpUaMGbdq0Ydu2bdjpWheYmZkRGhqKtbU1np6e1KhRAy8vr9Q1wl26dKFDhw60bt0aS0tLNmzYgBCCgIAA3Nzc6NevH05OTrz77rucPXs2dRpL48aNWbVqFcuWLaN27dps2bIFb29vQ10GRVEUvRkZaUshFSVXungRPvoIatXSRnunToXISBg2zLCJ75PLoaI2g0yCphugwwmo2AWESo5yqxMnTtCrVy/s7e1ZuHAhHh4eHDp0iJCQEDw9PVXiq2QPKWW6N2AIkALsQSto9QPwCFid0X1yw83R0VFm5MyZMxnuy4/u3r1r6BAM6mWeD8HBwVkXSB6jrpX+1LXSnyGvFXBIGvi1DagNDAW8gLK6bQ6ARTbHcRE4ARwDgvW93/Nem5WnvfZz/do1KT/9VMoCBaQ0NZXyiy+kvHEjU2J7LSkpUl4JkDKwkZS3jmvbEv+VMvnRK59S/Q3VX1Zdq5SUFLlnzx7Zrl07CUgzMzM5fPhweeHChSx5vOygnlf6y4mvzc+b9twPWCmlHPB4gxBiALBECDFASvkwsxJwRVEURVFenhCiEPAd0BmtCKUE/IFrgA/wNzA2m8NqKqWMz+bHVF7k7l2YOxfmz9cquX38MUyaBDY2ho1LSojZDScmwY39YGYLibHavoJqsmFulZyczJYtW/Dx8eHQoUOUKVOG6dOnM2jQoNRiqopiCM+bX2CPNtr7pE2AMVApyyJSFEVRFEVf0wF3oCdghZYAP/YL0NYQQSk5SEICLFgA9vba1GYPD6190YoVOSPxDX0L9rTRevU2XAZvndUqOiu5UkJCAsuXL6dq1aq8++673Llzh+XLl3Pp0iXGjx+vEl/F4J6X/JoDd9Nsi9N9tciacBRFURRFeQnvAxOllOvRujA86QJgq++JhBAthRDbhBBXhBBSCNE7nWMGCyEuCCEShBCHhRAt0hwigVAhxEEhxAcv96somSo5GVavBkdH+PxzrTLbwYOwaZO2zZBuHdESXyHAqhW8sQQ8z0OVgWBc0LCxKa/k7t27zJ49G1tbWwYOHEiJEiXYvHkz4eHh9O/fH1NTU0OHqCjAi6s9WwshnuxRY/zE9ttPHiiljMzUyBRFURRFeZFSQHgG+4yAl6lcZI7W0eEb3e0pQojuwCJgMLBP9/UXIUR1KeU/usOaSSmvCiHKAbuEECeklCdfIgbldUkJ27ZpbYvOnIGGDbUkOCc0pb7xJ5ycBNG/gssOsO4A1UYZOirlNVy/fp2FCxfi6+vLnTt3aNOmDWPHjqVVq1apRVEVJSd5UfK7OYPtP6WzzTidbYqiKIqiZJ0LQBO04pRpNQLO6nsiKWUAEAAghFiTziGfA2uklCt1P38qhGgHDALG6c5xVfc1WggRADQAVPKbXX7/HcaM0b46OsIPP0CXLtoIqyHdOgInvODqdihUCurOBisXw8akvJZLly4xZ84cVq1aRWJiIl26dGHs2LE0aNDA0KEpynM9L/ntk21RKIqiKIryKr4BxgshLgJbdNukEKIV8BngnRkPIoQoiJbIzk2zKwhoqjvGDDCSUsYJIcwBN+D755yzP9AfwNLSkpCQkMwINc+Lj49/5loVuXgR+5UrKf3HHySWKsXFzz7jWocOSBMTCA01TKA6QibjHPM+xjKBKItPuGLWmeTrReD6wSx/7PSulZI+fa/VpUuX2LBhA7t27UIIQZs2bXjvvfeoWLEicXFx+eJ6q+eV/nLitcow+ZVSrs3OQBRFURRFeWk+QB3gW+Br3bZ9gCmwUUq5OJMepzTaDK+YNNtj0ApugVZwa6tuqqMxWseIDDMcKeUKIUQ04FmgQIEGrq6umRRq3hYSEkLqtbp8Gby8YM0aMDeHGTMoNHw4TkWK4GTIIO+cgb+XQv0F2hremzvAwhH7gsWwf/G9M81T10p5rhddqyNHjjBjxgy2bNmCqakpQ4cOZeTIkVSoUCH7gswh1PNKfznxWr1o2rOiKIqiKDmUlDIZeE8IsRStsnMZ4CYQKKXMiiE/mebnx+2VHtf+qPNSJ5PSH/B3cnLqlznh5RO3b8OsWbBoEaSkwPDhMGEClCpl2Lju/g2npsDF9WBiBva9oVRD7abkSvv27WP69OkEBgZSrFgxxo8fz/Dhw7G0tDR0aIrySlTyqyiKoii5nJRyL7A3Cx/iBpAMlE2zvQzPjgbrTQjhCXiWL1/+NULLRxITsXm8jvfWLfjgA5g2DWxtDRtXUjwc/hQufANGplB9NFQdBaalDRuX8kqklOzatYvp06cTGhqKpaUlM2bMYPDgwRQrVszQ4SnKa3leqyNFydXMzc1Zs2aNocNQFEXJMkKII0KIEUIIq6x8HCnlQ+Aw0CbNrjbAH69xXn8pZX9zc/PXCS/vS0mBjRuhWjUcfH2hQQM4cgS++86wie+j+9pXEzNt1NdxOHSMhLqzVOKbC0kp8ff3p3Hjxrz55pucO3eOBQsWcPHiRcaNG6cSXyVPUMlvHtC7d2+EEAghMDExoWLFigwaNIh///3X0KEpiqIoWSsGbd1vlBAiQAjxnhDilRpqCiHMhRB1hRB10d4fVNT9XFF3yHygtxCirxCimhBiEVAe+OpVgxdCeAohVsTHx7/qKfK+0FBwdob334eiRTnu4wNBQVCvnuFiun8FDg6GnytB4i2tmnSbvdBgPhTO0s9hlCyQnJxMSEgI9erVo2PHjsTGxrJ8+XIiIyMZMWIERYoUMXSIipJpMkx+hRC1X/UFVMl+7u7uREdHc/HiRb7++mv8/f0ZPHiwocN6LSkpKSQnJxs6DEVRlBxLStkesAFGo01BXg/ECCFW6So+v4w3gKO6W2Fgsu77KbrH2gSMACYCx4DmQAcp5aXXiF+N/GbkzBnw9ARXV4iJgbVr4cgR/m1owPWzD67BoeGwrTJEfA0VuoDUvU4LNZ6S2zx69IjvvvuOmjVrMnnyZBISEli7di1nz56lf//+FCr0Mm3CFSV3eN5fqqNAbQAhRKQQ4qWKWCjZq1ChQpQtWxYbGxvefPNNunfvTlBQUOr+O3fu0L9/f8qUKYOFhQUuLi4cOnToqXOEhYXh5uaGmZkZxYoVw9PTk6tXrwKQmJjIiBEjsLKywtTUlMaNG7Nv3z5AS1JtbGxYvPjpoqJ///03QgiOHj2qVwxr1qzB3NycgIAAatasScGCBQkPDwdg9erVVK9eHVNTUxwdHVmwYAEpKSmp9z1//jyurq6Ympri5OTE9u3bM/HqKoqi5FxSyutSyoVSyjeAGsBSoDWwSwihd2IqpQyRUop0br2fOMZXSmkrpSwkpWwgpfwt03+h/C4mBgYOhFq14LfftMJWZ89Cr15gZMAE80E0bLOHc0vB7kN4629o9BWYqsJHuU1SUhJ+fn5UrVqVnj17YmJiwpdffsnp06fp1asXBQoUMHSIipJlnvdX9AHaJ78AtoD6+CeXiIyMJDAwMPWPl5QSDw8Prly5wvbt2zl69CgtW7bEzc2N6OhoAI4fP06rVq1wcHDg999/JywsjHfeeYdHjx4BMHr0aDZt2oSfnx9Hjx6lVq1atGvXjujoaIyMjHj//fdZt27dU3GsW7eO6tWrU69ePb1iAEhISGDatGksX76cM2fOUKlSJVauXMn48eOZMmUK4eHhzJs3j9mzZ+Pr6wtoyfc777xDSkoK+/fvx8/PD29vbxITE7PjciuKouQYUspwtJHaCcBVtFHhHEtNe37C/fswfTo4OMCqVTBkCEREwJgxULjwi++fFRJvwj+bte8Ll4M6M+Gts+D8NZjbGiYm5ZUlJiayfPlyHB0d+eSTTyhatChbtmzh+PHjuLm5YWxsbOgQFSXLPa/a8ylgrhBih+7nvkKIdhkcK6WUUzM3NMMbETiCY9eOZetj1i1bl4XtFr70/QIDAzE3Nyc5OZmEhAQA5s+fD0BwcDDHjh0jNjaWwroX0KlTp+Lv78+3337L6NGj8fHxoU6dOqxYsSL1nDY2NlhYWHDv3j2WLVvG119/jYeHBwBfffUVe/bsYenSpUybNo2ePXsyd+5czp8/j4ODAwDr16/n448/1jsG0NadLF68mAYNGqTGMXXqVHx8fOjatSsAdnZ2jB07Fl9fX4YOHcquXbs4c+YMFy5coGJFbWnawoULadGixUtfR0VRlNxKCOEG9AQ6A+bAn8BMgwb1AqrVEVoxq/XrYdw4rW9vp07g4wOOjoaL6eFt+Gs+/LUQUhLAsoW2lrfqcMPFpLyyhIQEVq1axaxZs7h8+TLOzs4sWbKEDh06oOvLrSj5xvOS3xGAH9raHgn0fc6xEshzyW9u0rJlS1asWMGDBw9YuXIlERERDBs2DIDDhw9z//79Z3qyJSQkEBERAcDRo0d555130j13REQESUlJNGvWLHWbsbExTZo04cyZMwDUrl2bWrVqsX79eiZNmsSBAweIiIigR48eescAYGJiQt26dVN/jo2NJSoqigEDBjBo0KDU7Y8ePUJKrd1keHg41tbWqYkvgLOzM0aGnB6mKIqSDYQQNYEPgR6ANXAJWAR8K6U8Z8jYFD3s2weffQaHDkH9+lr1ZhcXw8WTFKclvH/Ng6Q7ULEb1PRSRaxyqQcPHrBixQpmz55NdHQ0zZo1Y9WqVbRp00YlvUq+lWHyK6UMA6oLIYyAR0AztE+R841XGYE1lCJFiqSOuP7vf/+jVatWTJ06FW9vb1JSUrCysmLv3mdbQBYtWhQgNZFMz+N96f2hfHLbBx98gJ+fH5MmTWLdunW0aNGCSpUqAegVA2hrl5+cdvN4Xe9XX31F06ZNnxufoihKPnQCuAP8gJbwZmWv30yXb/v8XrgAo0fD5s1gbQ3ffKP17DX0h7YPb8Pp6VC+PdTyhhKq3EtudO/ePZYvX46Pjw8xMTG4urqybt06XF1dVdKr5HvPG/kFQEqZIoToA/wtpVSld3MJLy8v2rdvT//+/alfvz4xMTEYGRlhb2+f7vH169dnz5496e5zcHCgYMGC7Nu3L/X+ycnJ7N+/P3VkF7Tkd/z48YSFhbFp0yamTZv21PlfFEN6rKyssLa2JiIigl69eqV7TPXq1bly5QpRUVFUqFABgD///POpgliKoihZIfZerKFD6A5sk1LmyiIH+W7ac1wczJgB8+eDiQlMngyjRoGhWsk8ug/nlsGtw9BsPZhVgI4RUMTaMPEoryU+Pp5ly5YxZ84cYmNjad26Nd9//z0tW7Y0dGiKkmO8MPkFkFKuBRBClASaACWBm0CYlPJW1oWnvCpXV1dq1KjBtGnTWLp0Kc2aNaNTp074+PhQtWpVrl27RmBgIO7u7rRo0YIvvviCxo0b079/f4YMGYKpqSk7d+6kY8eOqX2Dx44dS+nSpbGzs2PBggXExMQ81U7JxsaGli1bMnDgQO7cuUO3bt1S97m7u78whox4e3vz6aefUrx4cTp06EBSUhJHjhzhypUrjBs3Dnd3d6pWrUqvXr1YsGABDx484LPPPsPERK+nt6Ioyku5nXCbn/76iY2nNrIrcpdBY5FS/mDQABT9pKTAmjUwfrxWzblXLy0JtjZQkpmcAOeWw5mZkBADZdvAo3tgYqYS31woPj6epUuXMnfuXG7cuEGbNm3w8vJ6armaoigavbMDIcQ0YCRQEHg8ZyJRCDFXSvllVgSnvJ7PP/+cPn36MGbMGAICApg4cSL9+vXj+vXrWFlZ0axZs9TR1Lp167Jr1y7Gjx9P48aNKVSoEPXq1aNLly4AzJ49G4A+ffpw+/Zt6tWrR2BgIOXKlXvqMXv27Mknn3xC586dKV68eOp2IcQLY8hI3759MTMzY86cOYwbN47ChQtTo0YNhg4dCoCRkRFbt26lX79+ODs7U7FiRebNm/fUqLSiKMrreJj8kMDzgXxz/Bv8//bnYfJD7IrbMbrZaGZmc00pIcQk4Gsp5VXd98+TowtS5otpz7//DsOGwZEj0KQJbNsGjRoZLp5bhyG0Izy4ClatoPkPUEYViMyN4uLiWLJkCfPmzePmzZu0bdsWLy8vmjRpYujQFCXnklK+8IZW/CoFWAm4AE66ryuBZGCYPufJCTdHR0eZkTNnzmS4Lz+6e/euoUMwqJd5PgQHB2ddIHmMulb6U9dKf1l1rU7GnJTDfxkuS/uUlngjLX0s5bCAYTIsKkympKRIKaUEDslsfB3TvR43euL7592SszO2V70977U517p8WcoePaQEKa2tpVy3Tkrdc+Z1vNJz/VGilHfPa98/vCtliKeU1/a8diw5XV79G3rnzh05ffp0WbJkSQnI9u3by7CwsNc6Z169VllBXSv9GfJaZfTarO/I70BgkZTysye2nQVChRDxwGDgf6+WfiuKoihKznE/6T4bT21k5ZGVhF0Oo6BxQTo6deSjOh/RtnJbChgXMGh8Ukqj9L5XcojERG1N7/Tp8OgRTJwIY8eCmVn2x5LyCC58C6emgLEpdDgFBSzAZVv2x6K8trt376aO9N66dQsPDw8mTZpEI0POJFCUXEbf5NcW2JHBvh3AoAz2KYqiKEqucP7WeXwP+rL62GpuJ9ymWulqzH9zPj3r9KR0kdKGDi9dQoiKQLSUMimdfSZAeSnlP9kfWT61YweMGAHnz8Pbb2tJsJ1d9seRkgyXNsDJyRB/Hko2gFpTQKjPSnKjtEnvW2+9hZeXF2+88YahQ1OUXEff5PcmUBNIr7JHDd1+RVEURclVpJQEXwxm/v757Di3AxMjE7pU68KQhkNoXrF5bmgLcgGtEGV6rQjr6LYbp7NPyUwXLsDw4eDvD05O8Ouv8Oabhovn8lbY3xOK14GWP4F1R8j5z2UlDZX0Kkrm0zf53QpMFULcBDZKKZN0nyh3A6YAa7MqQEVRFEXJbEnJSWw8tZH5YfM5du0YZczK4OXixYAGAyhnUe7FJ8g5npfRFEBb95tj5fqCVwkJ4OMDM2eCsbH2/fDhULBg9sYhU+DyT1rrIrsPweYdaLkNrD3UaG8upJJeRck6+ia/49A+QV4L+AkhbqG1OzIG9gHjsyY8RVEURck8D5Ie4HfUjzl/zOHSnUtUt6zO155f80HtDzA1MTV0eHoRQhRHew1+zFoIkbaBemHgI+BatgX2CmRu7vP7668wZAhERED37jB3LtjYZG8MUsKV7XByEvx7DCybg+0HYGQMNp7ZG4vy2uLi4li8ePFTa3q9vb1V0qsomUjfPr9xQoiWgAfQAu1F9xYQCvyiq6iVJYQQ44HpwFIp5VDdNgF4Af2BEsABYIiU8nRWxaEoiqLkXveT7rPs4DJ8/vDh+r3rNK3QlCUdluBRxSM3TG1Oazjaa6DU3TZncNzj10olM129Cp99Bt9/D46OsHMnuLtnfxyx++HwcLh1EMwrQ5NvoFIPNb05F4qPj2fJkiXMnTuXmzdvqqRXUbKQ3n1+dQnudt0tWwghGgP9gBNpdo1G6zncG63q9CRgpxDCSUoZl13xKYqiKDnb/aT7fHXoK2b/Ppvr967jbu/Oly2/pEXFFrkx6X3sJ+AiWnLrB0wDItIckwickVKmff1UXlVyMvj6woQJ8PAhTJkCo0dDoULZF4OUiMe1zVIeQmIsOPuBXU8w0vstnZJDxMfHs3TpUubMmcPNmzdp37493t7eqnqzomShHPuXUghRDFgHfIKW3D7eLtD6Ds+SUv6o2/YRcB3oASzP/mgVRVGUnCQpOYlVR1cxJXQK0fHRuNu74+XiRfOKzQ0d2muTUh4HjgMIISSwXUqpCk9mpePHoX9/+PNPrZDV0qXg4JC9MVz/DU58SeV7pYA2YOUCnn+DkWFbbykv7969e/j6+uLj48ONGzdo164d3t7eODs7Gzo0RcnzcnIVhBXAZinlnjTb7YCyQNDjDVLKB8BvQNPsC09RFEXJaaSUbDy1keq+1Rm0YxD2JewJ7R3Kzp4780Tim5aUcq1KfLPQ/fswZgw0aKBVdF63DgIDszfxjf0DdrvDLheIO8c9E9v/9qnEN1e5f/8+8+bNw97entGjR1O/fn3++OMPfvnlF5X4Kko2yZEjv0KIfoAD0DOd3WV1X2PSbI8BrDM4X3+09cFYWloSEhKS7uMWK1aMuDg1a/qx5ORkva7HyJEjCQ8PJyAgIBuiyj4JCQkZPlfSio+P1/vY/E5dK/2pa6W/+Ph4lvy8BN8IX8LjwrE3s2dGzRk0LtmYlAsphFwIMXSIWUYIURNtlpQTkLZql5RSts7+qPSTo6s9h4RAv35az96PP4Y5c6BkyRfeLVOdmQPHRoNpGag/HxwGEr3vAE7ZG4Xymh48eMDy5cuZNWsWMTExuLu7M3nyZJo2VWM2ipLdclzyK4RwAmYALaSUD59zaNoiWyKdbdqBUq5AG0nGyclJurq6pnvC8PBwLCwsXjZkg+vduzdr12rdpkxMTChRogQ1atSga9eu9O/fnwIFXu2T4bi4OL2uR8GCBTE2Ns6V1+55TE1NqVevnl7HhoSEkNHzSnmaulb6U9dKP5duX6L3+t6ExIZQzrwcfh396FWnF8ZGeb+9rRDCGa345EWgClqNjBJAReAycN5gwekhR1Z7vntXW8u7fDnY28Pu3eDmln2Pf+somBSBok5g00nb5jgYTMyyLwYlUyQkJLBy5UpmzpxJdHQ0rVq14ocffqBFixaGDk1R8q2cOO25CVAaOCWEeCSEeAS4AIN13z+e3lU2zf3K8OxocL7h7u5OdHQ0Fy9eJCgoCE9PT7y8vGjRogX37t0zdHiKoiiZ7kHSAyaHTKbq0qrsv7kfLxcvzn16jj71+uSLxFdnBrAFqIH2IfAnUkpbwB2tHeE0w4WWCwUFQc2asHIljBwJJ09mX+L77wn4rTME1oeTU7RtRR2h+hcq8c1lEhMT8fX1xcHBgWHDhlGlShWCg4PZs2ePSnwVxcBeKvkVQtQWQgwVQngJIcrqtjkIITJzyO8noBZQ94nbIWCj7vu/0foWtnkiLlO0Fkx/ZGIcuUqhQoUoW7Ys1tbW1K1bl88//5yQkBCOHDmCj48PAA8fPmTMmDHY2NhgZmZGw4YN+fXXX1PPkZyczCeffIKdnR2FCxembt26+Pj4kJKS8tQxo0aNokSJEpQoUYIRI0aQnJyc7b+voij527az26juWx3vUG86OnXkm4bf4O3qjVnBfJck1Aa+47+ZT8YAunoZ04CZBoord7l7V5vi3LYtmJnBH39ofXuLFMn6x74TDvu6wy91IGY31PSChr5Z/7hKpnv48CErVqygSpUqDBkyBDs7O3bv3q1m8ShKDqJX8iuEKCSE+AE4CvwPrfry4wU6PsCEzApISnlbSnnqyRtwD7il+1kCC4GxQojOurVOa4B4YH1mxZEX1KxZk3bt2vHjjz8C0KdPH0JDQ1m/fj0nT57ko48+wtPTk+PHjwOQkpKCtbU133//PeHh4UyaNIkZM2awevXq1HPOmzePlStXsnz5cvbv309ycjLr1q0zyO+nKEr+E3Unirc3vk2njZ0wK2DGnl572NR1E2VMyxg6NEMpANyTUqYAt4ByT+w7C9Q0SFS5SUgI1K4Nfn7adOejRyE7iw9d+AauBkCNCdDxAtT2hoLFsu/xldeWlJTEqlWrcHJyYsCAAVhbWxMUFMRvv/2Gm5tbbm6rpih5jr5rfqejTaHqCezk6enFvwCDgbGZG9pz+QCFgaVoa5sOAG9mdo/fESNGcOzYscw85QvVrVuXhQsXZtr5qlevzq5du4iIiGDDhg1cvHiRihUrAjB06FB27drF8uXL8fX1pUCBAkyZMiX1vqVKlSI8PJwNGzbwySefALBw4UJGjx7Nu+++C8CiRYueGj1WFEXJCskpySw6sIhJwZNIkSnMdp/NZ40/o4Bxvq92G8F/xR5PAB8LIbbrfu6DNlNKSU9Cgtazd8ECqFwZfv8dGjfO+seNj4RTU6FCN7DuANXHQtWRYFo66x9byVSPHj1i3bp1TJkyhcjISBo2bMiyZcto27atSngVJYfSN/l9H5gopVwvhEi7kOoCYJupUaUhpXRN87MEvHU35TmklAghOHLkCFJKqlev/tT+xMRE3J5Yz/TVV1/x9ddfc+nSJR48eEBSUhKVKlUC4M6dO0RHR9OkSZPU442MjHB2diYqKip7fiFFUfKdkzEn+WTbJxy8ehCPKh4s6bAE2+K2hg4rp/AHXNFmPs0AdgB3gWTAHBiW3QEJIYzQPpS+JKXsmt2Pr5eTJ+H99+H0aRg8GHx8tOnOWeneJTg1HSJXg5EJlGigbVejvLlOcnIyGzduZPLkyZw7d4569eqxbds23nrrLZX0KkoOp2/yWwoIz2CfEVAoc8LJWTJzBNZQzpw5g729PSkpKQghOHjw4DPVnwsXLgzApk2bGDFiBHPnzqVp06YYGRmxdu1atm7daojQFUXJ5x4mP2T6b9OZsW8GJUxLsLHLRt6t8a56c/kEKaX3E9/vEkI0BroARYBAKf/P3n3H13T+ARz/PIkEIWKTQYzaagTtD23tUq3WKIqqGKFDWyOtqpHEqqJI1WhrRKmWUoo2qBGKqrRKrKoZI1ZqJZHIuM/vj5NERHDDvblJfN+v13nde8957jnfe5Lck+95lt5gg7DewqiRzivZwEEAACAASURBVHYzSqA1zJwJvr5QuDAEB0ObNtY/5oExcHA8oKDSW0Ztr1M2nN5J3JfJZOKHH37A39+ff/75h1q1arFq1Spefvll+V4SIocw98J0EmMU5s0ZbHsKo1+RyGYOHDjAunXrGDlyJHXr1kVrzYULF2jWrFmG5bdv387TTz/NwIEDAWOqo+PHj6dud3FxwdXVlV27dqXWFmut2b17N66urhnuUwghHsa+C/t4Y9UbhF0Mo8eTPZjeZjrFnaRZ6INorf/GGJ/DJpRSJYGOGN2l3rZVHBmKjITevWHtWmjbFhYsgJJW7Cseex4ci4KdI+R3hwp9jH69BcpY75jCKkwmE6tWrcLPz48DBw5QvXp1fvjhBzp27IidXXacOEUIcS/m/sV+gzHAVA/AMXmdVko1AwYD860RnDDfrVu3uHDhAhEREezbt4+pU6fStGlT6tWrh6+vL5UrV6ZHjx54e3uzfPlyTpw4wZ9//smUKVP48ccfAahcuTJ79uwhODiYo0eP8umnn7J169Y7jvP+++8zadIkli9fzpEjRxg0aBDnz5+3xUcWQuRCiaZEJvw2gQZfN+Bi9EV+eu0nFndcLIlvFlBKPaeUWq2UOqeU0kop7wzKvK2UOqmUilNK/aWUSj9vy2RgFGBK/16b2rED6tY1pjIKDDQSYGslvnGXYI8vrK5oNHFWCp7oB0/NkcQ3h9Fas2bNGurVq0enTp2Ij49nyZIlhIWF8eqrr0riK0QOZG7N7ySgNrAImJu8bjuQD/heaz3DCrGJTNi4cSOurq7Y29tTuHBhatasiZ+fHwMGDMDR0bhfsWDBAsaPH8+HH37I2bNnKVq0KE899VRqTfCAAQPYu3cv3bt3R2vNyy+/zNChQ5k///a9jaFDh3LhwgX69esHQM+ePenRoweHD9+rVbwQQpjn+JXjvL7ydXad3UWXGl2Y2XamJL0ZUEqd5PbURg+itdYVzSxbEDiAccP7mwyO2xUIxKjR3Z78GKyUqq61Pq2Uei75eDuVUk3NPKZ1mUzGlEUffwzlysGuXUYSbA23/oPDU+DfGZAUC549oHRL6xxLWJXWmvXr1zN69GhCQ0OpWLEi33zzDd26dSNPnuzXml8IYT5ljB1lZmHjDm9roCTwH0Z/oq33f1f2UqVKFX3kSMattA8fPky1atWyOKLsKyoqCmdnS07hnLNk5vdB5vAzn5wr8z0u50przcJ9C3k3+F3slT2zX5xNtye7ZWoftjxXSqm/tNb1s/B4QZif/KK17v0Qx4gGBmqtg9Ks+wMI01r7pFl3FFiutR6ulPoIeBdIwLg57oxxg7zvPY7RH+gPUKJEiXrLli3LbJj3ZR8dTbVPPqH4zp1catKEI76+JBUsaNFjpFUnchAu8WFcyt+M8IK9uOlQ1irHiY6OpqAVP0duktlzpbVmz549LFiwgIMHD1KqVCl69uxJ69atc33SK79X5pNzZT5bnqtmzZpleG3O1F+y1vo34DeLRSWEEOKxdjX2Kv3X9mf5oeU08WzCNx2+oayLdZKG3EJr7Z3Vx1RKOQL1gCnpNm0AGgForScCE5PLN8VInjNMfJPLfwV8BcaNaYvevDh8GN58E44dg+nTKfnee5S09IBECTfgyAxjAKu8ReG/r8E+P6UK16SUZY90h8flppglZOZcbdu2jVGjRrFt2zbc3d2ZPXs2ffr0SW09l9vJ75X55FyZLzueq9x9G0sIIUS29fuZ3+m2ohvnos7xSYtP+KDRB9jbpZ9NT2QTxQF74GK69ReBh27bq5RqB7Rzc7PgyMerVkHPnuDkBJs2QZMmlts3QEI0/PsFHJ4M8VfAqQxUeAOKNbDscUSW+P333xk9enRq97EZM2bQr18/8uXLZ+vQhBBWYFbyq5Qyce8mVhq4DuwBJttoWgUhhBA5hEmbmLRjEiM3j6SMSxm2997O0x5P2zqsHEkp9caDymit7+q/+wjS/y+gMliH1joECHngzrReA6ypUqWKz4PKPjgyDZ9+CsOHQ4MG8OOP4OHxyLu9Y///TIVDE+FWJLi9CLUCoGg9yx1DZJk///yT0aNHExwcTIkSJfjss8946623Uqd/FELkTubW/I4FemH04fkZ405vaaAtEAesAppiDHzxitZ6reVDFUIIkdNF3oyk58qerDu2js7VO/NVu68onK+wrcPKyYLusT5tQmqJ5DcSSMK49qdVkrtrg81msZrf+HijmfOCBdC1q/FoqSTGlAQqeVTfS9ugiBfUGgPF5YZNThQWFsbo0aP56aefKFq0KBMnTuSdd96RPpxCPCbMTX7jMOb6fUFrHZeyUimVHwgGLgNeGInxx0COTX611jJRuSAzA8EJIcyz6+wuuvzQhYsxF5nVdhZv1n9Tvm8fXfkM1hUDXgK6A69b4iBa63il1F9AK+CHNJtaASseYb+PXvN77Rp06AAhITBqFPj7gyWmoEm6BcfnwaFPoflGKFQJGn8PeaRmMCc6fPgw/v7+LFu2DBcXFwICAhg0aBCFChWydWhCiCxkbvL7JvBu2sQXQGsdq5SaBnyhtR6vlJoLLLR0kFnFwcGB2NhYnJycbB2KsLHY2FgcHBxsHYYQuYLWmi92f8HQDUPxKOTBzj47qecmTUUtQWsdnsHqcGCPMu4sDMFIgh9IKVUQeCL5pR1QVilVB7iitT4NTAUWKaV2Azsw/jdwA+Y8bPyPXPN7/jy0bg3//AOLFsHrFsj1TQlwIggOjIObp6FEY2PqIpDENwc6duwYAQEBLFmyBCcnJ0aOHMmQIUMoUqSIrUMTQtiAuclvSeBemYAjxl1mMJpF5djb+CVLluTcuXO4u7uTP39+qZF4DGmtiY2N5dy5c5QqZc3xOoV4PMTEx9B/bX+W7F/Cy1VeJuiVIIrkl386s8hvGMmvueoDW9K8DkheFgLeWuulSqliwEjAFWNO4Lb3SMDN8kg1v8eOwfPPw6VL8Msv0NICc+qaEuCX2nDjMBR7Gp6ea8zVK/8P5DinTp1i0qRJbNiwAUdHR4YOHcqHH35I8eIyd7gQjzNzk98/AX+l1E6t9fmUlUopN8AveTuAJxBh2RCzTkrTl4iICBISEmwcje3FxcU9lqMdOjg4UKpUKWkKJcQjOnblGB2XduTApQOMbz6ej575CDtlgeaowlz/A6LNLZw8SNV9szyt9Sxg1qOFZQH79hmJb1ISbNliDHD1sExJcHETuD4Pdg7wRH9wrgRubSXpzYHOnTvH+PHjmTt3LgDvvPMOw4cPp3Tp9N3VhRCPI3OT3/eBTcBJpdTvwCWM2uCGwE1u9yl6Alhi6SCzUqFChSTpSRYSEkLdunVtHYYQIgdad2wd3VZ0w07ZEdwjmNZPtLZ1SLmSUmp0BqsdgZrAi8AXWRtR5jxUs+e9e6FFC2Mqo19/hapVH+7g2gSnf4D9/nDjH2i1E0o0hKqDHm5/wqYuXbrExIkTmTVrFiaTib59+9K8eXM6d+5s69CEENmIWcmv1nqPUuoJYCjwNPAkcB74DJiqtf4vuVxGF2EhhBCPCa01k3ZMYvim4dQqVYuVXVdSvkhGYzIJC/HPYN0tjH6/44FPsjSaTMp0s+d9+4zEt0ABY4CrChUe4qAmOLvKSHqv7QeXGvDMchm9OYf677//mDx5MjNmzODWrVu88cYbjB49mnLlyhESEmLr8IQQ2Yy5Nb8kJ7gfWzEWIYQQOdjNhJv0Xd2X7w98T9caXZn38jwKOBawdVi5mtY6R7cjz1TNb1jY7RrfLVseLvEFSLwJuwdA3mLQaAmU7QJ29g+3L2Ez169fZ9q0aUydOpXo6Gi6deuGn58flStXtnVoQohszOzkVwghhLiXszfO8sr3r/D3+b/5pMUnDGs8TAYNFA9kds3v8ePQqhXky2ckvhUrZuYgcH49nFwIDReDQ0FouRWcK4Od/BuU00RHRzNjxgwmT57M1atX6dixIwEBAdSsWdPWoQkhcgCzv/WVUjWBvkAVIP0oSFpr3cKSgQkhhMgZ/jj7B+2XticmPobV3VbzUuWXbB3SY0cpVQYow93XZ7TWm7M+Igu6fBnatIHERNi2DZ544sHvASPpvbgJwkZD5O9QwBNiToFzRXCpbtWQheXFxcUxe/ZsPvnkEy5fvkzbtm0ZO3YsXl5etg5NCJGDmJX8KqWeBrYCp4BKQBhQBCgLnAWOWSk+IYQQ2diS/Uvo81Mf3Jzd2NhzIzVK1rB1SI8VpVQF4FvgqZRVyY86+bkGcm6b3ps3oV07OHsWNm2CKlXMe1/sRdjRBS5tAycPaDAHKvQGe0frxissLj4+nvnz5zNu3DjOnTtHixYtGDt2LA0bNrR1aEKIHMjcmt8JwI9ATyAB6Js8CFZzYBEwzkrxCSGEyIZM2oR/iD9jt43lOc/nWNFlBcWdZP5MG5iLcSN6EPAPEG/bcDLnvn1+k5KgWzfYvRtWrIBGjR68w7hLkK8k5C0OKg/UmwFP+IB9XovHLqwrMTGRxYsXExAQwKlTp2jcuDGLFy+madOmtg5NCJGDmZv81gJ6YdxBhuS7yFrrzUqpcRijScowiUII8RiITYjF+ydvlh1cRu86vZnz0hwcpUbNVhoA3lrrFbYO5GHct8+vnx+sXg2ffw4dOtx/R/+FGs2br/wJL58AB2dosck6QQurMplM/PDDD/j5+XHkyBHq1avH7Nmzad26tYwjIIR4ZOYmvw5AjNbapJS6Arim2XYEYz5BIYQQudzF6Iu88v0r7D63m09bfsoHjT6Qf0ht6yw5rLbXLMHBMH489OkD775773JX/ob9fnBujTF6c7UPjRpfkeNorVmzZg2jRo0iLCyMGjVq8OOPP9K+fXv5jhFCWIy5V4jjgHvy8zCgj1JqbfLr3sAFSwcmhBAiezl0+RAvLnmRi9EXWdFlBR2qPaA2TmSFCcAwpdRmrXWMrYOxiNOn4fXXoVYt+OKLe5e7dhDWeYFDYag1Dqq8Z9T4ihxFa83GjRsZOXIku3fv5oknnuDbb7+la9eu2Nvn3O7qQojsydzkdw3QFFiCcaH9GbgBJAEFgfesEZwQQojsYdOJTXRa1on8DvnZ1nsb9d3q2zokAWitFymlqgKnlFK7gKt3F9G9bBDaw4mPhy5dICEBli+H/Pnv3H79MPy3Gyr0gsI14On5UKYjOLrYJl7xSHbs2MGIESPYunUrZcuWZe7cufTq1Ys8eaT2XghhHWZ9u2it/dM836iU+h/QCXAC1mmtN1gnPCGEELa24O8F9F/bn6rFq7K221o8C3vaOiSRTCnlDQzHuBntxd1NoHX692Qndw14NWoU/PEH/PADVKp0u+CNf+HAGDi1BPIWhbKdIY8TVOxtk7jFo/nrr78YOXIk69ato3Tp0syYMQMfHx/y5pWByYQQ1vVQt9a01n8Df1s4FiGEENmI1hq/ED/GbhtLqwqt+KHzD7jkkxq2bCYAWIkxC8M1WweTWXcMePX33/DZZ9C3L7z6qlHg5lkIGwUnvwG7fFDN1+jXm8fJpnGLh3Po0CFGjRrFjz/+SNGiRfn0008ZOHAgTk7y8xRCZA1z5/lNAhpqrXdnsK0esFtrLR0zhBAil4hPiqfv6r4sDltMnzp9mPPSHBzsHWwdlrhbMWBWTkx87zJgABQrBpMng9agFCTGwunlUPl9qD4M8peydZTiIZw4cQJ/f38WL15MwYIF8fPzY/Dgwbi4yM00IUTWMrfm937D7NmTzZtVCSGEMN+1uGt0XNqRLae2MLbZWEY8O0JGW82+tgPVgBw9r4/jtWvw77/w7RdwbCTcioRnlkKhStDhHDgUsnWI4iFEREQwbtw4vv76a/LkyYOvry8ffvghxYvLnOBCCNu4b/KrlLLjduJrl/w6rfzAC0CkFWITQgiRxU5fP03bb9vy73//sqjDIl6v9bqtQxL39z6wTCl1FVjH3QNeobU2ZXlUmeR45TKMLAt2Q+FYElTsB6YksLOXxDcHioyM5NNPP+WLL74gMTERHx8fRo4cSWrfbiGEsJF7Jr9KKT9gdPJLDey4z35mWTIoIYQQWW/vhb20/bYtNxNusv719TQr38zWIYkHO5z8+M09tmsecnyPrKTcNVQ7B+V6Qc1RULCcrUMSD+HGjRtMnTqVqVOnEhMTQ8+ePfHz86N8+fK2Dk0IIYD7XxBDkh8VRhI8Dzibrswt4BCwFiGEEDnW+mPrefWHVymSrwjb+2ynZsmatg5JmGcMObjrUcpoz7VcHaDdIXB+wtYhiYcQGxvLzJkz+eSTT7hy5QqdOnVizJgxVK9e3dahWZTJZCIyMpJr166RlJRk63AsysXFhcOHDz+4oJBzlQnWOlf29vYULlyY4sWLY2eXvmHy/d0z+dVabwW2AiilNPC11jrikSIVQgiR7Sz4ewE+a3yoWbImP3f/GfdC7rYOSZgp7VSEOVHqaM+VK/tI4pvzJCQkMH/+fMaMGUNERATPP/8848ePp3793DkP+NmzZ1FKUa5cORwcHHLVWAhRUVE4OzvbOowcQc6V+axxrrTWJCQkcPHiRc6ePUvZsmUz9X6zUmWtdYAkvkIIkbtorQkICaDP6j40L9+cbb23SeIrbCMXJRGPA5PJxJIlS6hWrRpvvvkm5cqVIyQkhPXr1+faxBcgJiYGd3d3HB0dc1XiK0ROopTC0dERd3d3YmJiMv1+s/sBKaWaAN2AskC+dJu11rpFpo8uhBDCJhKSEnjr57eY9/c8etXuxdftvpapjHIopVQ14FWgDBlfn3tlfVQiN9Ja8/PPPzNixAjCwsKoVasWa9eupW3bto9NMpjZJpZCCOt42L9Fc+f5HQDMBv4DjmL09b2jyEMdXQghRJaLuhVF5x86s/74ekY9N4qApgGPzT+uuY1S6g1gPka/30tAfLoiObY/sMhetm3bxvDhw9m5cycVK1ZkyZIldO3aVZJBIUSOYm7N71BgCdBHa53+wiqEECKHOB91nheXvEjYxTDmtptLX6++tg5JPJpRwE9AX631NVsHI3KfvXv38vHHHxMcHIybmxtz5syhT58+ODhISxEhRM5j7u06d2CBJL5CCJFzHbx0kP/N+x9Hrxxlbfe1kvjmDqWBWdkl8VVK7VRK7VNKHVBKjX7wO0R2dezYMbp160bdunXZtWsXkyZN4tixYwwYMEAS31zOZDIxYMAAihUrhlKKkJAQqx2rXLlyTJkyxWr7FyI9c2t+/wIqAJusGIsQQggr2XJyCx2WdiC/Q362em/Fy9XL1iEJy9gBVCP7XJ/baK1vKKXsge1KqdVa6722DkqYLyIigrFjxzJ37lwcHR0ZMWIEvr6+FC5c2NahiYfk7e1NZGQka9eaNzPpL7/8woIFCwgJCaFChQoULVr0kWPw9/dn+fLlHDhw4I71oaGhFChQ4JH3L4S5zK35fQ8YpJR6zprBACilhiulQpVSN5RSl5VSa5RSNdOVUUopf6VUhFIqVikVopSqYe3YhBAiJ1octpjWi1vjXsidXX13SeKbuwwE+iuluimliiml7NIvWRmM1vpG8lPH5EXkENeuXWP48OE88cQTzJ07lwEDBnD8+HHGjRsnie9j5tixY7i6utKoUSNKly6No6P1/pRLlCiBk5OT1fYvRHrmXhTXAB7AFqVUlFLqdLol3IIxNQVmAY2A5kAisFEplfa204cY/ZDfBRpgDPLxq1JKJt0SQohkWmvGbRtHz5U9eabsM+zoswPPwp62DktY1lngb2AxxrUwId1idnclpdRzSqnVSqlzSimtlPLOoMzbSqmTSqk4pdRfSqlnMyjzR3IsG6XWN/uLjY1l8uTJVKhQgYkTJ9KhQweOHDnCF198QenSpW0dnrAwb29vXnrpJQIDA3F3d6dIkSL07t2bmzdvpm4fPHgwp0+fTp3TGIzryaRJk6hYsSL58+fnySefZPHixXfsOyIigh49elCsWDGcnJyoU6cOW7ZsISgoiICAAA4ePIhSCqUUQUFBwN3Nnk+fPk2HDh1wdnbG2dmZjh07cvbs2dTt/v7+1KxZk++//56KFSvi7OxM+/btiYyMTC2zf/9+WrRoQaFChXB2dqZ27dps2bLFSmdU5DTmNnveRBaNGKm1bp32tVKqJ3AdaAysUcaQpIOAiVrrFcllemFcaLsDX2ZFnEIIkZ0lJCUwYO0AFuxdwOu1Xmfey/NwtJeKuFzoa6ArsAr4h0wkuxkoCBwAvkle7qCU6goEAm8D25Mfg5VS1bXWp1PKaa2fVkoVAn5QStXUWh9Ivy9he4mJiSxcuBA/Pz/OnTvHCy+8wIQJE6hTp46tQ8s5Bg2CvVl8f6dOHZg+/ZF28dtvv+Hq6srGjRs5c+YMXbp0wdPTE39/fwIDA/H09GT+/PmEhoZib28PwMiRI1m+fDkzZ86kSpUq/P777/j4+FCkSBFefPFFYmJiaNKkCSVLlmTlypW4u7uzb98+ALp27cqBAwdYu3Ztav9hFxeXu+LSWtO+fXvy5cvH5s2bUUoxcOBA2rdvT2hoaOqsBKdOnWLp0qWsXLmSmJgYXnvtNUaMGMGXXxopQPfu3alduza7d+8mT5487N+/n3z50s8CJx5XZiW/WmtvK8dxP84YNdRXk1+XxxjgY0NKAa11rFJqG0ZtsSS/QojH2vW467z6w6tsPLERvyZ++DXxk6mMcq9XgA+01oGPuiOt9S/ALwBKqaAMigwBgrTWXye/flcp1QZ4Cxiebl83lFKbgTYYCfVdlFL9gf5gNH205qA6uUl0dPQjnSutNTt27GDu3LmEh4dTrVo1fH19qVOnDteuXctVP4dHPVfpubi4EBUVlfo6b3w8dklJFtu/OUzx8dxKE4M5EhISSExMJCoqioSEBJydnZk0aRJ58uTBw8OD9u3bExISQlRUFHZ2djg6OmJnZ5faF/fChQtMnTqVVatW0ahRIwDatWtHr169CAwM5LnnniMoKIgLFy7w66+/UqxYMQBatWoFGDdaHBwc7thnSjxaa27dukVUVBSbN29m37597Nu3D09Po5XSV199RZ06dVizZg3NmjXj1q1bJCYmMmPGjNQEulevXixevDj1ZxMeHs4777yDu7s7AKVKlQK442f3KJKSkiy2r9zO2ucqLi4u03/j5tb82lIgsBf4Pfl1Shuci+nKXcQYlfoucoF9OJa+aORmcq7MJ+fKfA9zri7EXWD4/uGciT3DsCrDaEpTtm7dap0As5HH+PcqBjhk7YMopRyBekD6YVk3YNx4RilVGMijtY5USuUDngem3WufWuuvgK8AqlSpops2bWqFyHOfkJAQHvZcbd++nWHDhrFz506qVKnCihUr6NChQ669OfYo5yojhw8fxtk5TQ+7WbMstu/MyGwbHgcHB/LkyYOzszMODg7UqFGDIkWKpG739PTkzz//TP1sefPmRSmV+vqff/4hLi6Ojh073vG7kpCQQLly5XB2dubw4cPUqlUrtZl0ennz5sXOzu7O8wcopcibNy/Ozs6Eh4fj5uZGzZq3h/qpVasWbm5unDp1CmdnZ/LmzYunpyceHh6pZcqXL09kZGTqvocMGcK7777LsmXLaNGiBZ06daJq1aqZPGv3FhUVddfnEBmz9rnKly8fdevWzdR7zE5+lVJ1MeYTfA4oDDyltd6jlJoAbNNar8vUkc075lTgGeAZrXX6W2vpm2GrDNYZBeUC+1AsfdHIzeRcmU/Olfkye652nd3F+9+/T7wpng09N9C8fHPrBZfNPMa/Vwswuvz8auXjFAfsyfjGc8vk50Uxmjo7YLTYWqa1vu/wskqpdkA7Nzc3C4cr0jp06BDDhw9n9erVuLq68tVXX9G7d2/y5MkJdSDC0tJPVaWUwmQy3bN8yrY1a9ZQtmzZDPel9aP3jtRa3/NGTNr1D4rf39+fHj16EBwczPr16wkICEidn1oIs771lFLPABuBE8ASjNElU5iANwGLJr9KqWnAa0AzrfWJNJsuJD+WBs6kWV+Suy/KQgjxWFh2cBm9VvXC3dmdtd3XUrW45e5yi2wtHOimlPoV4zp8NX0BrfV8Cx7vnjeek6/V9TK1M63XAGuqVKniY5nwRFoRERH4+fkxf/58ChQowLhx4xg0aJBMLSMypXr16uTNm5fw8HCaN8/4pqqXlxeLFy8mMjKS4sWL37Xd0dGRpAc0Ea9evTrnzp3j1KlTqTXIJ06cICIigurVq2cq5kqVKlGpUiXee+893nrrLebOnSvJrwDMr/mdCKwH2mPc+U2b/O4B3rBkUEqpQIzEt6nW+p90m09iJMCtgNDk8vmAZ4EPLBmHEEJkd1prxm4bi1+IH43LNGbVa6so7nT3Px4i15qd/OgJtMhguwYskfxGAknc7nqU4pFuPEvNr3XcuHGDSZMmMXXqVBITE3n33XcZOXJkhkmJEA/i7OyMr68vvr6+aK157rnniI6OZteuXdjZ2dG/f3+6d+/OxIkTad++PZ988gkeHh7s378fZ2dnmjVrRrly5QgPD2fPnj2ULVs2tQlzWi1btqR27dr06NGDzz//HK017777Ll5eXvdMutOLjY3F19eXzp07U65cOS5evMj27dt5+umnrXFqRA5k7lRHXsBsbbRpSH/XNxIoYamAlFIzgd5AN+CqUqp08lIQIDmG6cBHSqmOyXMABwHRGLXSQgjxWIhNiKX7j93xC/HjjdpvsOmNTZL4Pn7KP2CpYImDaK3jgb8wbjyn1QrY+Qj7XaO17l+wYMFHCU8kS0hI4IsvvqBixYqMHz+eV155hX/++Yfp06dL4iseydixY/H392fKlCnUqFGDVq1asWLFCsqXLw9AgQIF2Lp1K+7u7rRr144aNWrg53d7sMVOnTrRtm1bWrRoQYkSJfjuu+/uOoZSilWrVlGiRAmaNm1Ks2bNKF26NKtWrTK7X7q9vT1Xr16lV69eVKlShQ4dOtCwYUOmTp1quZMhcjat9QMX4ArQMfm5PUZTZ6/kWKjLGwAAIABJREFU112BC+bsx8xj6Xss/mnKKMAfOA/EAVuBmubsv3LlylqYZ8uWLbYOIceQc2U+OVfmu9+5irgRoZ/6+imt/JWe+NtEbTKZsi6wbMiWv1fAn9pC10BbLhhTHdVJXm4Co5Ofl9W3r/fxQD+gGsaAlNGA5yMcsx3wlZub2yP/HB4XGf2um0wmvWLFCl2pUiUN6GbNmunQ0NCsDy6bsfT3wqFDhyy6v+zkxo0btg4hx5BzZT5rn6v7/U3e69psbrPn7cAgpdRPafPm5Me+wGYz9/NAWusH3tpJ/kD+yYsQQjxWQs+F0n5pe67HXefHrj/Svmp7W4ckcof6wJY0rwOSl4WAt9Z6qVKqGDAScMWYwqit1jr8YQ+opc/vI9u1axdDhw5l586dVK9enbVr19K2bdtcO4KzEEI8CnOT31HADmAfsBwj8e2VPBpzPaCBdcITQgiR1uKwxfRb3Q9XZ1d29t1JrVK1bB2SsCGl1EnuMdNBCq21WU2ftdYhGC2r7ldmFmCx+V2kz+/DO3HiBMOHD2fZsmWULl1aRnAWQggzmNXnV2u9D2OKo4vACIyLY8qgV0201kesE54QQgiARFMivht86bmyJw3LNCTUJ1QSXwFGt5/0ywGgEMY1PsRmkZlBS5/fTIuKimLo0KFUrVqVtWvX4ufnx9GjR/Hx8ZHEVwghHsDsb0mt9R6gRfLIykWBa1rrm1aLTAghBACXYy7z2orX2HxyMwMbDGRq66k42Ds8+I0i19Nae2e0XilVGGPqo41ZGpCwmoSEBGbPns2oUaOIioqid+/ejB07Fqk1F0II85k7z68D4Ki1jtFaxwERabYVAOK11glWilEIIR5bf0b8ScelHbl88zJBrwTRq04vW4ckcgCt9TWl1GRgPNl4JgRp9vxgWmvWrl2Lr68v//77L3Xr1mXBggXUrl3b1qEJIUSOY+5UR3OBr++x7cvkRQghhIVorVkTsYZn5j+DUoodfXZI4isyKw7wsHUQ9yPNnu8vLCyMVq1a8fLLLwOwZs0aPvvsM0l8hRDiIZmb/DYDfrrHttVAC8uEI4QQIiY+hl6rejH16FSalGvCX/3/wsvVy9ZhiRxCKZVHKVUHY0aEgzYORzyEy5cv8+abb1K3bl327NlDYGAgBw4c4KWXXpJRnIUQ4hGY2+e3JHDpHtsuA6UsE44QQjze/on8h84/dObgpYN4e3ozt/tc7O3sbR2WyKaUUibuPdrzDeDFLAxHPKL4+HhmzpxJQEAA0dHRDBw4ED8/P4oWLWrr0IQQIlcwN/m9BDzJnfP/pXgS+M9iEQkhxGNq4d6FvP3L2zg5OLHu9XU4nnGUxFc8yBjuTn7jgHAgWGt9PetDMp/0+b0tODiYwYMHc+TIEVq3bs20adOoVq2arcMSQohcxdzkdy0wSikVorUOS1mplHoSY+qjldYITgghHgdRt6J455d3WBS2iKblmrK4w2LcC7kTcibE1qGJbE5r7W/rGB6F1noNsKZKlSo+to7FVo4ePcrgwYP5+eefqVSpEmvXrqVt27bSvFnkGqdOnaJ8+fKEhoZSv359W4cjHnPm9vkdDVwD/lJK7VRKLVNK7QD2ANeBkdYKUAghcrPd53bj9ZUX3+7/Fv8m/mzsuRH3Qu62DktkY0opO6VUO6VUzfuUeTK5VlVkU9HR0QwfPpwaNWqwbds2Jk+ezIEDB3jxxRcl8RUW5e3tjVIKpRQODg6ULFmSZs2aMXPmTBISLDtZi7e3Ny+99JJF9ymEJZmV/GqtI4EGwCeAAuokP44HGiRvF0IIYaYkUxLjto2j0bxG3Eq8xeY3NuPX1E+aOQtzvA58B8Tcp0wU8J1SqlvWhCTMpbVm6dKlVK1alYkTJ9K9e3f+/fdffH19cXR0tHV4Ipdq2bIl58+f59SpU2zYsIF27drh5+fHs88+S0zM/b5KhMhdHpj8KqXslVK1AQet9WitdUOtdWWtdSOttX92708khBDZzfErx2kS1IRRW0bRuUZn9r25jyblmtg6LJFzvA4s0FqfvFcBrfUpYB6QrefHSq7B/io6OtrWoWSJQ4cO0aJFC1577TVKlSrFzp07CQoKonTp0rYOTeRyefPmpXTp0ri7u1OnTh2GDBlCSEgIe/bsYdKkSYAx4NqwYcPw8PCgQIECNGjQgPXr16fuIykpib59+1K+fHny589PpUqVmDRpEiaTCQB/f38WLlzIzz//nFrTHBISkvr+8PBwWrVqhZOTE9WrV+fXX39N3ZaQkMB7772Hm5sbefPmpUyZMnz00UdZc3LEY8WcPr8a+BNjxMgN1g1HCCFyL5M2MTt0Nh9u/BAHOwcWdVjE67Vet3VYIufxAmaYUW4j0MPKsTySx6XPb3R0NGPGjGHatGk4Ozsze/ZsfHx8sLeXlh452aBBg9i7d2+WHrNOnTpMnz7dIvuqWbMmbdq0YcWKFfj6+tK7d2+OHz/OkiVL8PDw4JdffqFdu3aEhoZSu3ZtTCYT7u7uLFu2jBIlSrB792769+9PsWLF6Nu3L76+vhw+fJgrV66waNEiAIoWLUpERAQAI0aMYPLkycyaNYtx48bx2muvER4eTsGCBfn8889ZuXIl33//PeXKlePs2bMcOXLEIp9TiLQemPxqrU1KqTNAgSyIRwghcqVT107Rd3VfNp/cTOuKrZn78lw8CnnYOiyRMzkDV80odzW5rLARrTUrV67k/fff5+zZs/Tp04eJEydSokQJW4cmBADVq1dn48aNnDhxgu+++45Tp05RtmxZAAYOHMjGjRv58ssvmTVrFg4ODowZMyb1veXKlWPPnj1899139O3bl4IFC5I/f/7UWub0Bg8eTLt2xlAEEyZM4JtvvmHv3r0888wzhIeHU7lyZZ599lmUUpQtW5ZGjRplzUkQjxVzR3v+EhiklPpZax1vzYCEECI3STIl8fkfnzNyy0jslT1ft/uavnX7yoA24lFEAp7A9geUK5tcVtjAyZMneffdd/n555+pVasWS5culX/mcxlL1cDaktYapRT79u1Da0316tXv2H7r1i2aN2+e+nrOnDnMnTuX8PBwYmNjSUhIwNPT06xj1apVK/V5yvRmly5dAoyBslq1akXlypV5/vnnadu2LS+88AJ2duaOzSuEecxNfp2BisAJpdQ64Dx3ziuotdZ+lg5OCCFysrCLYfRb3Y/QiFBeqvwSs9rOooxLGVuHJXK+7Rh9eb99QDlvHpwgCwtLSEhg6tSpBAQEYGdnx2effcZ7771Hnjzm/sslRNY5dOgQFSpUwGQyoZQiNDQUBweHO8rkz58fgKVLlzJo0CCmTJlCo0aNKFSoEDNnzmTlSvNmPE2735QbwCn9hb28vDh16hTr1q1j8+bN9OrVi9q1a/Prr79KAiwsytxv4o/TPO+TwXYNSPIrhBDAjVs38A/x5/M/PqeYUzG+7/Q9XWp0kdpeYSnTge1KqWnAsPQtspRSDsAUoDnwjA3ie2zt3r0bHx8fwsLCeOWVV5gxYwZlysgNL5E9HThwgHXr1jFy5Ehq1aqF1poLFy7QrFmzDMtv376dp59+moEDB6auO378+B1lHB0dSUpKeqh4nJ2d6dy5M507d8bb25v//e9/HDt2jMqVKz/U/oTIiFnJr9ZabrkIIcQDaK1ZenApQ9YP4UL0BfrX68+EFhMomr+orUMTuYjW+nel1FDgM6CHUmoDEJ682RNoBRQDhmqtd9kozMdKdHQ0I0aMYMaMGbi6uvLjjz/SoUMHW4clRKpbt25x4cIFTCYTly9fZtOmTUyYMIF69erh6+uLyWSiR48eeHt789lnn+Hl5cWVK1cICQmhQoUKdOzYkcqVKxMUFERwcDBPPPEE33//PVu3bqVIkSKpxylXrhzBwcEcOXKEYsWK4eLiYlZ8U6dOxdXVlTp16uDg4MCSJUsoVKgQHh4yNoawLGmDI4QQFrDn/B4GrRvEb6d/w8vVi1WvreIp96dsHZbIpbTW05VSe4CPgA5A/uRNsUAIMFFr/ZuNwjObUqod0C6l/19OtGHDBvr37094eDhvv/02n3zyCYUKFbJ1WELcYePGjbi6umJvb0/hwoWpWbMmfn5+DBgwAEdHR6KioliwYAHjx4/nww8/5OzZsxQtWpSnnnoqtSZ4wIAB7N27l+7du6O1plOnTgwdOpT58+enHsfHx4eQkBDq169PdHQ0W7ZsoVy5cg+Mz9nZmcmTJ3P06FGUUtStW5fg4GCcnJysdUrEY8rs5FcZ7fXaAc9h3FH211qHK6WaAEe11hFWilEIIbKt81HnGbF5BEF7gyjuVJw5L86hn1c/7O1kChNhXVrrbcA2pZQdUDx59X9a64drc2gDOXmqo2vXrjF48GCCgoKoUqUKv/32G888I63MRfYTFBREUFDQA8s5ODjg7++Pv79/htsdHR2ZN28e8+bNu2P96NGjU5+XKFGCDRvunhlVa33fdT4+Pvj45LivAZEDmZX8KqWKAL8ATwM3MAbAmoHRzMoHuAK8Z6UYhRAi27ked51JOyYx/Y/pJCQlMLThUEY+NxKXfOY18RLCUrTWJuCSreN4nPzyyy/4+Phw8eJFhg8fzujRo8mXL5+twxJCCPEA5tb8TgbKAI2BUCDt4BobgQ8sHJcQQmRLNxNuMjt0NhO2T+BK7BW61ezG2GZjqVi0oq1DE0JY2fXr1xk8eDALFiygRo0a/PTTT9SvX9/WYQkhhDCTucnvK4Bv8iAb6dvyncZIjIUQIteKTYjly7++5NMdn3Ih+gLPV3yeiS0mUte1rq1DE0JkgZCQEHr16sW5c+f4+OOPGT16NHnz5rV1WEIIITLB3OS3IHDuHtvyATJ/hxAiV7px6wZf/fUVn/3+GReiL9C8fHOWvbqMZz2ftXVoQogsEBcXx4gRI5g2bRqVKlVi586dPPWUDGYnhBA5kbnJ7xHgeYwmzuk1AfZbLCIhhMgGLsVc4vM/Pmdm6EyuxV2jRfkWLH11Kc95Pmfr0ITItpRSZYBFQEkgAQjQWv9o26ge3sGDB+nWrRv79+/nnXfeYdKkSTL6rBBC5GDmJr8zgZlKqevAkuR1hZVSvYGBQH9rBCeEEFlt74W9BP4RyJL9S0hISqBjtY4MazyMBu4NbB2aEDlBIjBIa71XKVUS+EsptU5rfdPWgWWG1po5c+YwZMgQChUqRHBwMG3atLF1WEIIIR6RWcmv1vprpVRFIAAYk7z6V8AETNJaf2ul+IQQwupuJd5i5T8rmf3nbLaFb6OAQwF8vHx47+n3qFyssq3DEyLH0FqfB84nP7+klLqKMQ3TaZsGlglXr16lT58+rFq1ihdeeIEFCxZQqlQpW4clhBDCAsye51dr/ZFSag7QEqM503/Ar1rrE9YKTgghrOlI5BHm/z2fBXsXcPnmZcoXLs/kVpPp59WPwvkK2zo8IbKcUuo5wBeoB7gBvbXWQenKvI0xy4MrcBCjpve3DPZVH3AAzlg5bIvZvXs3Xbp0ISIigqlTp/L+++9jZ2dn67CEEEJYiLnz/BYHorXWp4C5Vo1ICCGs6FrcNZYdXEbQ3iB+P/s79sqel6u8zIB6A2hVsRV2Sv7RFY+1gsAB4Jvk5Q5Kqa5AIPA2sD35MVgpVV1rfTpNuWLJ7++rtdZZEfij0FozY8YMfH19cXNzY/v27TKolRBC5EL3TH6TpzQaBQwCnIEkpdQajAvZtSyKTwghHllMfAxr/l3D9we+J/hYMPFJ8VQvUZ3JrSbT48keuDq72jpEIbIFrfUvwC8ASqmgDIoMAYK01l8nv35XKdUGeAsYnvy+vMBK4BOt9c57HUsp1Z/kMUNKlChBSEiIhT5F5sTGxjJlyhQ2b95Mo0aNGDZsGDdv3rRZPA8SHR2dbWPLbix9rlxcXIiKirLY/rKTpKQki322b7/9Fl9fX86fP292GXPek1UmTJjATz/9xB9//JHhdkueq5xs1apVvPHGG9y4ceOeZax9ruLi4jL9N36/mt83gdFACBAKVAA6ADeA3g8VoRBCZJFrcddY++9afjz8I+uOrSM2MRY3ZzfeafAO3Z/sTj3XeiiVy2ZpM5kgKgpu3DAeY2KM5eZNuHXr9pKYCElJxmNKpZxSYGcHefIYi4MD5M0L+fIZS/78ULAgFChgPBYqZKzLbedQ3JNSyhGjOfSUdJs2AI2SyyggCNistV50v/1prb8CvgKoUqWKbtq0qYUjfrCTJ0/SoUMHwsLCmDBhAh999FG2/14ICQnBFucqJ7L0uTp8+DDOzs4W219W8fb2ZuHChQDkyZOHIkWKUKNGDV599VX69++Pg4MDUVFRFvts+fLlA7jv/tKX6dWrFx07drTq+fX39ycgIOC+ZU6ePMmIESPw9fW9ZyyWPFeW9vXXX/PNN99w8OBBTCYTdevWZezYsTzzzDOpZaKiohg1ahQrV67k0qVL1K1bl8DAQBo0yNzAnvnz5wfu/3O29rnKly8fdevWzdR77pf8+gBfa60HpKxQSg0AvlBKDdBaxz9cmEIIYXlaa478d4Sf//2Zn4/+zG+nfyPRlIi7szt96vahc/XOPOv5bI5q1qwSE+HMGbhw4fZy8SJcvgyXLkFkJFy5cnu5z91Xq8iTB1xcoEgRYyla1FiKFzeWEiWMpVQpKFnSeHRxkYQ55yoO2AMX062/iDEeCEBjoCsQppRqn7yup9Y6wykRlVLtgHZubm5WCPf+Nm3aRJcuXTCZTPzyyy8ymrPI1Vq2bMmiRYtISkri8uXLbN68GT8/PxYtWsSmTZtsHR758+dPTaasxdfXlzfffDP1ddOmTXnppZfw9fVNXVeiRAns7e0pWLCgVWOxlpCQELp27Urjxo1xcnJi2rRptG7dmr1791KpUiUA+vXrR1hYGAsXLsTDw4PFixfTsmVLDh06hLu7u40/gfXdL/mtgDHoRVpLgdmAJ3DUWkEJIYQ5Im9GsvnkZn49/iu/nviV8OvhANQsWZOhDYfSoWoHGrg3yJ4Jb2IinD8P4eFw+rSxnDljLGfPQkQEz126dLtmNi0Xl9uJpZsb1KhxOwEtVMhYnJ2NWtoCBYwa2nz5jJrcvHlv1+7a2xu1vVobi8lk1AgnJBhLfDzExkJcnFF7nFKTnFK7fOMGXLtmLFevGgn4sWNGUn79esafO18+KF0aXF2N2NMu7u7G4uFh1C6L7Cr9L6VKWae13g6Y/QentV4DrKlSpYqP5cJ7sK+++oq3336bqlWrsmrVKp544omsPLwQWS5v3ryULl0aAHd3d+rUqcPzzz+Pl5cXkyZNSk0Ar169yqBBg1i9ejVxcXE0btyYwMBAatSoAUBQUBADBw4kOjo6dd8hISE0a9aMy5cvU7x48dT1a9asYejQoZw+fZqGDRsyb948KlSokGF86ffr7+/P8uXLGTlyJCNGjODSpUu0aNGCuXPnph4jMTGRDz74gKCgIMCo4Y6Li+Pw4cMZNoUtWLDgHUltnjx5KFiwYOp5SZFy7AMHDqTuNzIykmeffZZp06YRGxvLW2+9xYQJExgzZgyzZs3Czs6OwYMHM2zYsNT9XL9+nQ8++IBVq1YRGxuLl5cXn332GfXr13/wD+whffvtnRPwzJ49m1WrVrFu3ToqVapEbGwsK1asYMWKFamtIvz9/VmzZg2zZ89m3Lhx99z3N998w6hRo7h8+TLNmzfnhRdeuGP78ePHGTJkCH/88QdRUVFUqVKFjz76iC5dugAwZswYli1blnpeUzRu3Jh69erx+eefs3//fgYNGkRoaChaaypUqMD06dNp1qyZBc6O4X7Jb0GMJs5ppTTazp51/UKIXC0iKoIdp3ewNXwrW8O3cuCS8QXqkteFZuWbMazxMNpWaotnYU8bR4qRREZEwMmTcOrU7ceU5cwZo0xaRYoYiZ+HB9SrR3hCAuUaNTISw9KljaVkSXB0zPrPk1nx8fDff0YN9aVLRo31xYu3a7AjIuDQIdi4MeNE2cXl9rnw8IAyZe58XqaMkeCLrBQJJAGl060vyd21wWbJ6ppfk8nERx99xOTJk2nTpg1Lly6lUKFCWXJskUttbHr3urJdoPLbkHgTQtrevb2Ct7HERcL2V+/eXukt8OwKMWfg9553bmsZ8ugxJ6tZsyZt2rRhxYoVqcmvt7c3R44c4aeffqJIkSKMGDGCNm3a8O+//2aqZvbWrVsEBASwYMECnJyceP/99+nQoQN79+41u2vBqVOnWLp0KStXriQmJobXXnuNESNG8OWXXwIwZcoUgoKCmDt3LjVr1mTWrFksWbIk081gzbFt2zY8PDwICQlh586d9OvXj71791K3bl22b9/O5s2beeutt2jZsiX16tVDa82LL76Ii4sLa9eupWjRoixcuJDmzZtz5MgRXF0zHmvkzTffZPHixfeN5dChQ5QtW9asuOPj44mLi6NIkSKAccMgKSkptdl5ivz587N9+/Z77uePP/7A29ubsWPH0rlzZ7Zs2cLHH398R5no6GheeOEFxo0bR/78+Vm6dCmvv/46tWrVomrVqvTp04cxY8awe/fu1AEFjxw5ws6dO5k1axYA3bt3p3bt2uzevZs8efKwf//+u2J9VA8a7dldKZX2Fo19mvV3DHolUx4JISwpJj6GvRf28mfEn+w6t4udZ3Zy+roxmGwBhwI0LtuY12q8RosKLajvVp88dmbP3GYZWhs1nSdPGsuJE3c+Dw83ak9TKGXUdpYvD40bg6cnlCsHZcsaS5kyd9V2ngoJoVxO7dvn6Gh83ntc4O8QE2Mkw+fOGbXe587dfn7mDOzbZyTO6WvBXVxSE+HK9vawffudiXKZMuDkZJ3P9xjSWscrpf4CWgE/pNnUCljxkPvMsprf2NhYevbsyYoVK3j77bcJDAwkT54s/t4QIpupXr06GzduBODo0aOsXr2arVu38txzzwGwaNEiypYty7fffku/fv3M3m9iYiKBgYE0btw4dT8VKlRg06ZNtGzZ8gHvvr2PoKAgXFxcAOjfvz8LFixI3R4YGMiwYcPo1KkTANOnT2f9+vVmx5gZLi4uzJw5E3t7e9zd3Zk1axYRERGsW7cOgMqVKzNx4kS2bNlCvXr12LJlC3v37uXy5cupNw3Gjh3LmjVrWLRoER9++GGGxxkzZswdzbAzkpmbhSNHjqRgwYK8/PLLgNE/t2HDhowbN46aNWtSunRpvvvuO37//ff7toAJDAykRYsWjBgxIvXzhoaGMm/evNQytWvXpnbt2qmvR4wYwapVq1Jr8D08PGjTpg3z589PTX7nz59PvXr1Ut8XHh6Or68vVatWBbBKq5wHfesvv8f6VRmss89gnRBCPNClmEvsv7ifvRf2su/iPv6+8DeHLh/CpE0AuDu706hMIwY9PYhGZRrh5eqFg72D9QO7cePO2tqU5DZlST+CYbFiRnLr5QWdOhnPU5ayZY0mx+JuBQpApUrGci/x8UaCnNI0PG0T8TNnKH7iBKxde/f70tame3jc2bQ65XmRItIPOZlSqiCQ8t+GHVBWKVUHuJI8ldFUYJFSajewA2NwTDdgzkMeL0tqfq9fv84rr7zCtm3bmDp1KoMGDcr2A1uJHOJ+NbF5nO6/PV/x+28vUMaiNb0Z0Vqn/i0cPnwYOzs7GjZsmLrdxcWFJ598kkOHDmVqv3Z2dndMF+bp6YmbmxuHDh0yO/n19PRMTXzBSPouXboEGH/TFy5cuOMYSikaNGjAmTOWn1q8evXq2NvfTnVKlSpF4cKF7yhTqlSp1Pj++usvbt68SYkSJe4oExcXx/Hjx+95nJIlS1KyZEmLxBwYGMiXX37Jxo0b72jhsmjRIvr06YOHhwf29vZ4eXnRrVs39uzZc899HT58mHbt2t2xLqUpe4qYmBgCAgJYu3Yt58+fJyEhgbi4uDtq4n18fOjVqxfTpk3D0dGRRYsWMWrUqNTtQ4YMoV+/fixcuJAWLVrQqVOn1ETYUu6X/MqIzkIIi0kyJXH2xllCr4QS9kcYRyKPcPDyQQ5ePkjkzcjUcm7ObtQuVZsOVTtQ360+9d3q4+ZshX+MU/rcpiRRKf1uU/rghocbfVnTcnK6ncw2aXJnclu+vNHXVliHo6NRU16uXIabd4aE0PR//zNqjNMkxamP587BX38ZTbDTy5v3zr7HKTXWrq63+yeXLm3c3LDP9fd56wNb0rwOSF4WAt5a66XJc/iOBFwx5gRuq7UOf5iDZUXN76VLl2jTpg379+/n22+/pVu3btY6lBA5zqFDh1L74d5vSu6UBNnOzu6ucglpWzlZkIPDnTe5lVKYTKYM47K2jGK5X3wmk4lSpUrx22+/3bWv+3W1sFSz58DAQEaOHElwcPBdc5ZXrFiRrVu3EhMTw40bN3B1daVr166UL1/+nvszZ7p2X19f1q1bx5QpU6hUqRJOTk706NGD+PjbYyS/+OKLODk5sWLFClxcXLh27dod38n+/v706NGD4OBg1q9fT0BAAHPmzKFPnz4PPL657pn8aq0XWuwoQohcT2vNf7H/ceb6GU5dO8Wpa6c4ee0kJ66e4PjV45y4eoL4pOQvwP1GP91qJarRvkp7apSsQc2SNaldqjYlCpS4/4EeHIiRtJ4/b9QUpjymNKVNWSIijAGe0ipUyGiO7OkJzzxj1NaWL28kXJ6exgBTUluUfeXLBxUrGsu9/L+9u4+Oqr7zOP7+JoQEwjMhQCtVqQGN2NMFe2BBhFrsk1ZWxNXqKYajmIJHhS5sD4Uitla3VGk51qe0imt96GpbtXZ5kmq2clRUekBRa5ctjwkhBBACec789o97J5lMZsIkJJnMzOd1zj2Te+/v3vndb2byze/e3/3d2lrvMxH6OQh+PkpL4f33YePGyCNnp6U1j14dnDrpDH1P4ZwrxhvAqq0yDwMPd8b7dfWV3/379zNjxgz279/Pyy+/zDe/GeH+S5EUtXPnTjZs2MDy5csB7+pmIBBjhZ0wAAAVg0lEQVTgrbfeaur2fOLECT744APmzvWuiQ0bNoyqqipOnDjR1Ijbvn17q30HAgHeffddJk+eDMC+ffsoLS3lggsu6JS6Dxw4kBEjRvDOO+80DYbknOPdd99tNYBVPIwfP55Dhw6RlpYWdZCvSDqj2/Pq1atZsWIF69ata/GIo3DZ2dlkZ2dz7NgxNm7cyKpVq6KWzc/P5+23326xLHx+y5YtzJkzp6kbek1NDbt3727xO+/VqxcFBQU88cQTDBw4kFmzZrW6gp6Xl0deXh533HEH8+fP59e//nX3NH5FRAACLsCnNZ9SfqqcspNllJ0s49DJQ5RWllJ6spSSEyWUVJaw//h+qhuqW2zbr3c/Rg8eTf6wfK4acxWfH/J5qvZX8e0Z3yY3Oze2M7bOefeEHjnijSJcUeE96ic4hQ6mFBxQqS7Ck9gGDGju5vqVrzQPmnTWWc333IZ0r5IklZnZ5hXkJqdONQ/OdfBg82Omgq/l5d7I1oc6NM6T+Lryyu+BAweYPn06R44cYdOmTW3+EyiS7GpraykrKyMQCHD48GH+/Oc/c++99zJhwgQWL15MIBAgLy+PmTNnUlhYSFFREYMGDWLZsmUMGDCAG264AYCJEyeSnZ3N0qVLWbRoETt27GgarChUr169WLhwIWvWrKFPnz4sWrSICy+8MOYuz7G48847WbVqFWPGjCE/P5/HHnuMgwcPRh1MqjvNmDGDKVOmMHPmTFatWsX5559PWVkZGzZsYMaMGUydOjXidmfa7flnP/sZy5Yt4+mnn2bMmDGUlZUB3oBWwS7kGzduJBAIcP7557Nr1y6WLFnC2LFjm05wRHLHHXcwefJk7rvvPmbPnk1xcTEvvvhiizJjxozhxRdfZObMmWRkZHD33XdTW1vbal+33HILP/3pT0lLS2PTpk1Ny6urq1m8eDHXXnst55xzDocOHWLLli1MnDixw/GIJKEbv2a2AFiC1/XqQ2Chc651/wKRFOeco6ahhhO1Jzhee5zjNcf5tOZTjtd6r0erj3Ks+hhHq49ytOYoFVUVTdPhU4dpdI2t9tk7vTef6f+Zpm7KV+ZdyaiBoxg1YBTnDDqHcwefy+CswViw8VpZCZWVbCt7neFbd3oj/IZOwcflBKfQ59dG+OMJeI/ryc1tfobsBRc0d1ENfZzOyJF6dI60T3b26a8iB6k3QI9TWlrKZZddRkVFBa+++mqrbn8iqWbz5s2MHDmS9PR0Bg0axLhx47jrrrsoLCykd+/eVPpjWKxdu5aFCxdy1VVXNT3qaMOGDU2DNg0ZMoRnnnmGJUuW8MQTT3DppZfy4x//mO98p+Wo1JmZmSxbtow5c+awb98+Jk2axB/+8IdO7aa8ePFiysrKmDt3LmbG3LlzufrqqznUA05Kmhnr1q1j+fLlzJs3j/LycoYPH86UKVOYM2dOl73vQw89RH19Pdddd12L5TfddFPTI6GOHz/O0qVLOXDgAEOGDOGaa67hJz/5Satu3KEmTZrE448/zl133cWPfvQjpk+fzsqVK7n99tubyqxevZqbb76ZqVOnMnjwYBYuXNjikVhBo0ePZtq0aezdu7fpcUsA6enpHDt2jJtuuomysjKGDh3KlVdeyf33339mQQljsfTh7onM7DrgaWABsMV/nQvk+4NyRDR27Fj3ySefdE8lE1xxcXGLD6VE195YOedodI3UNdY1TbUNtdQ21ja91jTUUNvgvzbWUl1fTXVDdYvXqvqqpulU/SlvqjvFybqTVNZVeq+1lVTWVdIQaGizThnWiyEZAxjcqz/Deg1gaFo2OZZNLtkMC/RhWGMmI+uzGFGbwYiaXgyuCmDVYc9/DZ1OnvSmU6ciP6s2XP/+zc+qHTTIu79yyJDmadgwb1lOTvMzbgcNSuqGR0/9DgYCgaapsbGxxXy0KVjOOXfasuFlgvNtLd++fTsXXXRRq+XB6XTLOzoB3Hbbbducc1334MYkFtLteV5JSUmn7LOsrIwvf/nLHDhwgE2bNrUYvCcZ9NS/Cz1RZ8fq448/7rRuuz1NZWUl/ZPg8XHjx49nypQpPPjgg132HskSq+4QLVb5+fnceOONTaNHd1Rb30kzi5ibE/nK7/eAJ51zv/LnbzezrwPzgaXRNjpaUcqyRde2XtHJ5wBcjDtsXSrKdm00HlyLYrG+rwubD92Hdx9kRUUFr/w+p2W5Fvt3Lbb11gWXhaxzYctc6Pt7PwXLudDtHQQINM2Hbhfw38s1rQt4P/v7CL4GQrZzzhHwlvjLAgT89/C3IuCX8V69PQTwuv42Nq1vJIDz5725mro60h5NJ+C/Z4NfqpEADc55rwRotOC6zvnApQUgK2BkNhqZASOzwejTCFkN0L8BcuuhT50jqy5An3roWwd965unbH++Xz1kNjRgHMVxNOJ7ObyHfFYAO9PTcb17e11IMzNb/pyZ6TVMR42CrCxvvk8f7+esLPYfOcJZeXm4rCxvAKm+faFPH5xZ0+cr9LXFsooK3OHDOH/UyWjlw7eLtCzWRk+0cpEaZad7bauBF2lZeXk5Q4YMOaPGZrRtgstiLRc6iXSWzu72fPz4cb761a+yb98+NmzYkHQNXxFptnfvXjZu3Mi0adNoaGigqKiIHTt2UFRUFO+qSRTl5eU899xz7Nmzh8LCwrjUISEbv2bWG5gAhF8H3wRMjlD+VuDW4Py9v4j2BCeRxBIAqnBUdfbZm9NpbITqam9KUWlpaZhZiyktLa3FutCfw1/B6+ITvn34vkpKSprKhe4jfH+hy9PT08nIyGhVLrjP0P2FTtH2HXy8Q/h24fuIdhzRYhCtXKTYhJcDWuyjpqaGvn37RtwmPKbR1oevi3V+1qxZXfhJk1jV19cze/ZsPv74Y9avXx/1njoRSQ5paWk89dRTLFmyhEAgQH5+PuvXr+fii9URp6caPnw4OTk5PPbYY+Tk5Jx+gy6QkI1fIAfvucLhnfoPAa3upHfOFQFFAJ8dmeNW3bUw8l7b6D7ZkXsUrO0BM6OXi7JZm3sLqZ+RFtN24cfUoh5paezatYu8885rVb/Q7Zp/tqZ9BBeZpTXvt+kfxeY6BvdraaHbNv/z6837yzC/nLdVmr+MNO81zYy0tHS/6unN2/r/7IZUqvk1dGo+oNbLw5eZ976h8+9t28bFbdxT1qHPT4zbdEa5Vp+FKGXbKhft5/D5d955h4kTJ7ZoQISWC21UtHdZ6LpoDZbwRunppkjluou6N8ZOsUptzjkKCwvZvHkza9eu7dRBdUSkZxo1ahRbtmyJdzWkHXrC7baJ2vgNCo+gRVjWQr8BQ7nxu8u7rkZJRP9Mxu74yZMtHuIt0ZWWlpKXlxfvaohID9BZjzq65557WLt2LStWrKCgoKBT6iYiIskn7fRFeqQKoBEIf5BXLq2vBouIiEgP5Jx7xTl3a78zGI39pZdeYsWKFcyZM4eVK1d2XuVEIugJV65EpOPfxYRs/Drn6oBtwOVhqy4H3uz+GomIiEh327NnD3PnzmXChAkUFRV1620JknoyMjKoTuGxLkR6kurq6jYfzxRNQjZ+fauBAjO7xcwuMLM1wGeAR+NcLxEREelidXV1XH/99QQCAZ5//nkyMzPjXSVJcrm5uZSUlFBVVaUrwCJx4pyjqqqKkpIScnNz2719wt7z65z7LzMbCiwHRgI7gW865/bGt2YiIiISizO55/cHP/gBW7du5YUXXmD06NGdXzmRMAMGDAC8sSvq6+vjXJvOVVNTQ1ZWVryrkRAUq9h1VawyMjIYPnx403eyPRK28QvgnHsYeDje9RAREZH26+hzftetW8cDDzzAggULmD17dhfVTqS1AQMGdOgf7p6uuLhYA3fGSLGKXU+MVSJ3exYREZEUc+rUKebPn8+4ceN44IEH4l0dERFJIAl95VdERERSyz333MO+fft444031PVQRETaRVd+RUREJCF89NFH3H///RQUFHDJJZfEuzoiIpJg1PgVERGRHs85x2233Ub//v1ZtWpVvKsjIiIJSN2eRUREpMd79tlnKS4u5pFHHmHYsGHxro6IiCQgS7XnlJlZJfBJvOuRIHKAinhXIkEoVrFTrGKnWMUunrE62zmn1lgHBB91BHwH+DDO1UkU+rsQO8UqdopV7BSr2PW43JyKjd/3nHMXx7seiUCxip1iFTvFKnaKVewUq8Sm31/sFKvYKVaxU6xip1jFrifGSvf8ioiIiIiISNJT41dERERERESSXio2foviXYEEoljFTrGKnWIVO8UqdopVYtPvL3aKVewUq9gpVrFTrGLX42KVcvf8ioiIiIiISOpJxSu/IiIiIiIikmLU+BUREREREZGkp8aviIiIiIiIJL2Uafya2QIz221mNWa2zcymxrtO3c3MLjWzP5pZiZk5MysIW29mttLMSs2s2syKzezCsDKZZvagmVWY2Sl/f2d164F0AzNbambvmtkJMztsZq+Y2biwMooXYGa3mdn7fqxOmNlbZnZFyHrFKQIz+4H/PfxlyDLFyufHwYVNZSHrFaskoNys3Nweys2xU27uGOXmtiVDbk6Jxq+ZXQesAe4F/gl4E1hvZp+La8W6Xz9gJ3AnUB1h/b8D/wbcDnwJKAdeNbP+IWV+AVwDfBuYCgwA/mRm6V1Y73iYDjwMTAYuAxqAzWY2JKSM4uU5AHwfGA9cDLwGvGRmX/DXK05hzGwSMA94P2yVYtXSJ8DIkOmikHWKVYJTbm6i3By76Sg3x0q5uZ2Um2OW2LnZOZf0E7AV+FXYsv8F7ot33eIYk5NAQci8AQeBZSHL+gCVQKE/PxCoA24MKTMKCABfi/cxdXG8+gGNwLcUr5jidRQoVJwixmYg8H94/7gVA7/UZypinFYCO6OsU6ySYFJujhgT5eb2xUu5uX3xUm6OHhvl5tjilPC5Oemv/JpZb2ACsCls1Sa8M4fiORcYQUicnHPVwF9ojtMEICOszH7gY5I/lv3xekoc8+cVrwjMLN3Mrsf7h+RNFKdIioDfOedeC1uuWLU22ryuoLvN7LdmNtpfrlglOOXmmOmz3jbl5hgoN8dEuTl2CZ2bk77xC+QA6cChsOWH8H5B4gnGoq04jcA7w1rRRplktQbYDrzlzyteIczsIjM7CdQCjwJXO+c+QHFqwczmAecBP4ywWrFqaStQAHwDrxvaCOBNMxuKYpUMlJtjo89625Sb26DcHBvl5nZJ+NzcqzvepIdwYfMWYZl0LE5JHUszWw1cAlzinGsMW614eT4BvggMwruP4z/NbHrI+pSPk5mNxbu3capzrq6NoikfKwDn3PrQeTN7G/gHcBPwdrBY2GYpGasEp9wcG33Wwyg3x0S5+TSUm9snGXJzKlz5rcA7wxB+NiGX1mcmUllwpLa24lSGd6Y+p40yScXMfo53Q/5lzrl/hKxSvEI45+qcc7ucc+8555binYlfhOIU6p/xjnGnmTWYWQMwDVjg/3zEL6dYReCcOwl8COShz1UyUG6OjT7rESg3x0a5OSbKzWcgEXNz0jd+/bM424DLw1Zdjnffg3h2430gm+JkZll4o7AF47QNqA8rcxZwAUkYSzNbA9yAl1z/FrZa8WpbGpCJ4hTqJbwREb8YMr0H/Nb/+e8oVlH5sTgfbzANfa4SnHJzzPRZD6PcfEaUm1tTbj4DCZmb4z1qWHdMwHV4I4vd4gd3Dd6IimfHu27dHId+NH+xq4AV/s+f89d/HzgBzALG4X3xS4H+Ift4BCgBZuA9muJ1vDOJ6fE+vk6O1UN+LC7DO4MVnPqFlFG8vGP8D7w/bOfgJZD78Ebt+4bidNrYFeOPKKlYtYrN/Xhn388FJgJ/8mNztmKVHJNyc1MclJtjj5Vyc+yxUm7ueOyUm6PHJuFzc9yD2I2/rAXAHryb/rcBl8a7TnGIwXS8/vTh05P+esMbwvwgUAP8DzAubB9ZwIN43UCqgFeAUfE+ti6IVaQ4OWBlSBnFyzvGJ4G9/nerHNhMyHD1ilObsQtPsIpV83EGE2adnyR/D+QrVsk1KTcrN7czVsrNscdKubnjsVNujh6bhM/N5ldCREREREREJGkl/T2/IiIiIiIiImr8ioiIiIiISNJT41dERERERESSnhq/IiIiIiIikvTU+BUREREREZGkp8aviIiIiIiIJD01fkWSiJkVmJkLmU6Z2R4ze9HM/tXM9J0XERHpRsrNIj1Hr3hXQES6xLXAASAT+BxwBfAccKuZfcs5Vx3PyomIiKQg5WaROFPjVyQ5bXfO7QqZ/42ZvQC8AKwCbo9PtURERFKWcrNInKmbhUiKcM79HngZmGdmfQHM7G4z+6uZHTezCjN7zcwmBbcxsxFmVmdmd4bvz8xWmlmVmQ32579mZm/6+zppZp+Y2YruOj4REZFEo9ws0r3U+BVJLevwultd7M9/Fvg58C9AAVAO/MXMvgDgnCsDXgIKQ3diZunAzcDzzrljZjYa+COwG7gOuApYDWR38fGIiIgkOuVmkW6ibs8iqWWf/zoSwDl3S3CFnzQ3AB/iJc/gGeWHgdfNbKpz7g1/2RXAWcCj/vx4oDcw3zl3wl/2WlcdhIiISBJRbhbpJrryK5JazH91AGY2w8xeN7MjQANQD4wBxgY3cM4VAx/R8gxzIfC+c+5tf367v+1vzWy2meV26VGIiIgkD+VmkW6ixq9Iahnlvx40s/F4Xa1O4p1NngR8CdgBZIVt9wgw28yGmtnZwNdpPrOMP4DH1/D+pvwGKDOzrWY2rSsPRkREJAkoN4t0EzV+RVLLFUANsA24Bu+M8izn3EvOua3OufeAwRG2ewrv7HEBMA+oBp4JLeCce90593VgEDDDL//fZpbTRcciIiKSDJSbRbqJ7vkVSRFmNgtvsIs1zrkqf1TJRvxuVn6Zy/CePbg7dFvn3AkzewavS1U/4NmQ+4cIK1sLvGZm/fBGsDwXqOiCQxIREUloys0i3UuNX5Hk9EX/rG5vvIR5JXAt8Cqw1C+zAVgIPGlma/HuJ/ohUBJlnw/TfG/Ro6ErzOy7wKV4XbX2Azn++5QCOzvnkERERBKacrNInKnxK5KcXvBfa/AekfBX4Hrgd845B+Cc22hmdwDfw+tmtROYAyyPtEPn3Ptm9nfghHPur2GrdwDfAO4DcoGjwBbgRudcdWcemIiISIJSbhaJM/O/ayIibTKzMcDfgHnOucfjXR8REZFUp9ws0j5q/IpIm8zsLOA84G7/9TydMRYREYkf5WaRjtFozyJyOrcArwHDgRuUXEVEROJOuVmkA3TlV0RERERERJKervyKiIiIiIhI0lPjV0RERERERJKeGr8iIiIiIiKS9NT4FRERERERkaSnxq+IiIiIiIgkvf8H1NwmPrRpSW4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1152x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "country = select_country('USA with Korea R0')\n",
    "f = plottage(country,RK3(country))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Effect of social distancing in the USA\n",
    "\n",
    "If the US takes the same level of precautions as S. Korea did, it will mean less than 1000 deaths in the same period (100 days). In a year, that would still mean 100,000 fatalities. Hopefully before then we can find out how to control it similarly to China (770 days doubling time and effectively controlled).\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conclusions\n",
    "\n",
    "This is the result of only a few hours of learning about modeling epidemiology; I do not claim the model is accurate. WHO is using a similar base model but with much more sophistication such as incubation period, transport between populations, birth and death rates, introduction of virus by the animal source, etc. For instance, $\\beta$, the infection rate, depends on parameters of the population as well, like mobility. As such, it varies spatially. There's this 2D model here, applied to a city (Yerevan). \n",
    "\n",
    "https://towardsdatascience.com/modelling-the-coronavirus-epidemic-spreading-in-a-city-with-python-babd14d82fa2\n",
    "\n",
    "And here a 1D model solving for the populations of the animal vectors (presumably bats and including unidentified 'hosts') and people (BHRP model, for bats-hosts-reservoir-people). \n",
    "\n",
    "https://idpjournal.biomedcentral.com/articles/10.1186/s40249-020-00640-3\n",
    "\n",
    "\n",
    "Still, the toy model in this notebook gives a good insight on the dynamics of the epidemics, and how social distancing works on stalling it and reducing the infection and death rate. \n",
    "\n",
    "# Stay home, folks. Reduce that $R_0$. Let's bring it under 1.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### References \n",
    "\n",
    "More on the model can be found here, and references therein. \n",
    "\n",
    "https://idpjournal.biomedcentral.com/articles/10.1186/s40249-020-00640-3\n",
    "\n",
    "https://en.wikipedia.org/wiki/Compartmental_models_in_epidemiology#The_SIR_model\n",
    "\n",
    "https://towardsdatascience.com/modelling-the-coronavirus-epidemic-spreading-in-a-city-with-python-babd14d82fa2\n",
    "    "
   ]
  }
 ],
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